As you complete certain tasks in the game, you'll get a "title" associated with the task. This title can be sent via StreetPass and SpotPass to other Pokémon Rumble World players alongside your Mii, displaying your achievement. Your titles will also mark the fact that you've met the named achievement, and can also reward you with various items. Below are the known Titles.

Title	How to unlock
Arceus Master	Capture all 18 Formes of Arceus: there's one for all types.
Arceus Researcher	See all 18 Formes of Arceus: there's one for all types.
Archeologist	Capture Baltoy, Claydol, and Bronzong.
Arm Twister	Capture Timburr, Gurdurr, Conkeldurr, Darmanitan, Druddigon, Rufflet, and Braviary.
Armor Collector	Capture Kabuto, Kabutops, Anorith, Armaldo, Skorupi, and Drapion.
Artifact Collector	Capture Regirock, Regice, Registeel, and Regigigas.
Artisan	Capture Meowth, Persian, Scyther, Scizor, Smeargle, Hitmontop, Ambipom, Minccino, and Cinccino.
Aura Observer	See Xerneas, Yveltal, and Zygarde.
Aura Traveler	Capture Xerneas, Yveltal, and Zygarde.
Autumn Mountain Hiker	Capture Shroomish, Breloom, Foongus, Amoonguss, Paras, and Parasect.
Babysitter	Capture Cleffa and Togepi.
Band Manager	Capture Chimecho, Chingling, and Chatot.
Beautification Commissioner	Capture Grimer, Muk, Trubbish, and Garbodor.
Black Realm Collector	Capture Pignite, Zweilous, Marowak, Quagsire, and Arbok.
Bleary-Eyed Friend	Capture Drowzee, Hypno, Hoothott, Noctowl, Spinarak, Ariados, Murkrow, Shuppet, Banette, and Honchkrow.
Bone Collector	Capture Cubone, Marowak, and Vullaby.
Bug Collector	Capture 33 species of Pokémon that are Bug-type - that is, about half of them.
Bug Master	Capture 66 species of Pokémon that are Bug-type - that is, all of them.
Bulky Friend	Capture Dewgong, Snorlax, Azumarill, Miltank, Hariyama, Grumpig, Walrein, and Purugly.
Champion of Justice	Capture Cobalion, Terrakion, Virizion, and Keldeo.
Cheerful Dancer	Capture Bellossom, Ludicolo, Maractus, and Meloetta.
Clingy Friend	Capture Grimer, Muk, Gulpin, Swalot, Shellos, Gastrodon, Trubbish, and Accelgor.
Comfort Fan	Capture Mareep, Flaaffy, and Whimsicott.
Confident Friend	Capture Sandile, Krokorok, Krookodile, Scraggy, and Scrafty.
Cutting Expert	Capture Scizor, Gligar, and Gliscor.
Dark Collector	Capture 22 species of Pokémon that are Dark-type - that is, about half of them.
Dark Land Collector	Capture Doublade, Sliggoo, Aromatisse, Trevenant, Avalugg, and Druddigon.
Dark Master	Capture 44 species of Pokémon that are Dark-type - that is, all of them.
Deoxys Master	Capture all 4 Formes of Deoxys: Normal, Attack, Defense, and Speed.
Deoxys Researcher	See all 4 Formes of Deoxys: Normal, Attack, Defense, and Speed.
Desert Dweller	Capture Sandslash, Dugtrio, Gliscor, Cacturne, Garchomp, Cacnea, and Heliolisk.
Determined Adventurer	Capture Tyrogue, Riolu, Lucario, and Gallade.
Dewdrop Bay Beginner	Capture Froakie, Azurill, and Piplup.
Dewdrop Bay Collector	Capture Frogadier, Prinplup, and Flaaffy.
Dewdrop Bay Master	Capture Greninja, Empoleon, and Ampharos.
Diamond Crater Collector	Capture Monferno, Breloom, Manectric, Pidgeot, and Rhydon.
Distortion Land Collector	Capture Marshtomp, Metang, Lairon, Jynx, Victreebel, and Omastar.
Ditzy Friend	Capture Bidoof, Bibarel, Woobat, and Swoobat.
Double Trouble	Capture Doduo, Weezing, Girafarig, Cherubi, Vanilluxe, Klink, Zweilous, Doublade, and Binacle.
Downloader	Capture Porygon, Porygon2, Porygon-Z, and Genesect.
Dragon Collector	Capture 19 species of Pokémon that are Dragon-type - that is, about half of them.
Dragon Master	Capture 38 species of Pokémon that are Dragon-type - that is, all of them.
Dragon User	Capture Charizard, Gyarados, Dragonite, Salamence, and Rayquaza.
Drill Operator	Capture Fearow, Rhydon, Rhyperior, Dunsparce, Drilbur, and Excadrill.
Dual-Wielding Swords	Capture Scyther, Kabutops, Gallade, Dewott, Pawniard, Bisharp, and Doublade.
Early Bird	Capture Dodrio, Kangaskhan, Ledian, Zatu, Girafarig, Houndoom, and Shiftry.
Eevee Master	Capture the whole Eevee family: Eevee, Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon.
Electric Collector	Capture 21 species of Pokémon that are Electric-type - that is, about half of them.
Electric Master	Capture 42 species of Pokémon that are Electric-type - that is, all of them.
Ember Mountains Beginner	Capture Fennekin, Charmander, Fletchling.
Ember Mountains Collector	Capture Braixen, Charmeleon, and Fletchinder.
Ember Mountains Master	Capture Delphox, Charizard, and Talonflame.
Fairy Collector	Capture 17 species of Pokémon that are Fairy-type - that is, about half of them.
Fairy Land Collector	Capture Archen, Sandslash, Sigilyph, Croconaw, Meowstic, and Slurpuff.
Fairy Master	Capture 35 species of Pokémon that are Fairy-type - that is, all of them.
Fearless Leader	Capture Hitmonlee, Basculin, Bouffalant, Machop, Machoke, Machamp, Honedge, and Doublade.
Fighting Collector	Capture 22 species of Pokémon that are Fighting-type - that is, about half of them.
Fighting Master	Capture 44 species of Pokémon that are Fighting-type - that is, all of them.
Fire Collector	Capture 28 species of Pokémon that are Fire-type - that is, about half of them.
Fire Master	Capture 57 species of Pokémon that are Fire-type - that is, all of them.
Flaky Friend	Capture Paras, Parasect, Croagunk, Toxicroak, Helioptile, Heliolisk, Carvanha, Sharpedo, and Druddigon.
Flight Director	Capture Pidgey, Spearow, Taillow, Starly, Pidove, Rufflet, Vullaby, Fletchling.
Fluffy Fan	Capture Spritzee, Aromatisse, Swirlix, Buneary, Drifloon, Jumpluff, Swablu, and Altaria.
Flying Collector	Capture 46 species of Pokémon that are Flying-type - that is, about half of them.
Flying Master	Capture 92 species of Pokémon that are Flying-type - that is, all of them.
Friend Caretaker	Capture Cleffa, Clefairy, Igglybuff, Jigglypuff, and Happiny.
Furfrou Master	Capture all of Furfrou's 10 Formes - the Natural, Diamond, Matron, Kabuki, Heart, Debutante, Dandy, Pharaoh, Star, and La Reine Trims.
Furfrou Researcher	See all of Furfrou's 10 Formes - the Natural, Diamond, Matron, Kabuki, Heart, Debutante, Dandy, Pharaoh, Star, and La Reine Trims.
Genesect Master	Capture all 5 Formes of Genesect: driveless, Douse Drive, Shock Drive, Chill Drive, and Burn Drive.
Genesect Researcher	See all 5 Formes of Genesect: driveless, Douse Drive, Shock Drive, Chill Drive, and Burn Drive.
Ghost Collector	Capture 17 species of Pokémon that are Ghost-type - that is, about half of them.
Ghost Master	Capture 34 species of Pokémon that are Ghost-type - that is, all of them.
Giratina Master	Capture both Giratina's Origin and Altered Formes.
Giratina Researcher	See both Giratina's Origin and Altered Formes.
Glutton	Capture Shuckle, Zigzagoon, Linoone, Pansage, Simisage, Pansear, Simisear, Panpour, Simipour, and Heatmor.
Gold Plateau Collector	Capture Quilava, Skarmory, Forretress, and Slowbro.
Gold Plateau Master	Capture Leafeon, Porygon-Z, Suicune, and Ho-Oh.
Grass Collector	Capture 42 species of Pokémon that are Grass-type - that is, about half of them.
Grass Master	Capture 85 species of Pokémon that are Grass-type - that is, all of them.
Ground Collector	Capture 30 species of Pokémon that are Ground-type - that is, about half of them.
Ground Master	Capture 61 species of Pokémon that are Ground-type - that is, all of them.
Guardian of the Land	Capture Groudon, Regigigas, and Landorus.
Happy-Go-Lucky	Capture Chansey, Togepi, Togetic, Togekiss, Dunsparce, Blissey, Jirachi, Happiny, and Meloetta.
Harmonizer	Capture Alakazam, Mew, Xatu, Espeon, Umbreon, Gardevoir, Musharna, and Beheeyem.
Healing Friend	Capture Audino, Alomomola, Spritzee, and Aromatisse.
Herbivore	Capture Deerling, Sawsbuck, Bouffalant, Skiddo, Gogoat, Goomy, Sliggoo, and Goodra.
Hippity-Hoppity	Capture Azumarill, Lopunny, Diggersby, Bunnelby, and Buneary.
Honey Fan	Capture Vespiquen, Combee, Beedrill, Teddiursa, and Ursaring.
Hot-Blooded Friend	Capture Raticate, Machamp, Heracross, Ursaring, Tyrogue, Larvitar, Swellow, Hariyama, Conkeldurr, and Throh.
Ice Collector	Capture 17 species of Pokémon that are Ice-type - that is, about half of them.
Ice Master	Capture 35 species of Pokémon that are Ice-type - that is, all of them.
Improviser	Capture Persian, Hitmonlee, Ditto, Glameow, Purrloin, Liepard, Stunfisk, and Hawlucha.
Iron Fist	Capture Hitmonchan, Golett, Golurk, Pancham, Pangoro.
Jewelry Buff	Capture Persian, Sableye, Spoink, Carbink, Clamperl, and Diancie.
Judge of Truth and Ideals	Capture Reshiram, Zekrom, and Kyurem.
Klutzy Adventurer	Capture Buneary, Lopunny, Woobat, Swoobat, Golett, and Golurk.
Kyurem Master	Capture all three Formes of Kyurem: its unfused Forme, Kyurem-White, and Kyurem-Black.
Kyurem Researcher	See all three Formes of Kyurem: its unfused Forme, Kyurem-White, and Kyurem-Black.
Laid-Back Friend	Capture Slowpoke, Slowbro, Slaking, Slakoth, and Snorlax.
Land-Sea-Sky Dweller	See Kyogre, Groudon, and Rayquaza.
Land-Sea-Sky Ruler	Capture Kyogre, Groudon, and Rayquaza.
Leafy Expanse Beginner	Capture Pansage, Treecko, and Petilil.
Leafy Expanse Collector	Capture Quilladin, Grovyle, and Floette.
Leafy Expanse Master	Capture Chesnaught, Sceptile, and Florges.
Legend Terrain Collector	Capture Shelgon, Vigoroth, Dusclops, Zangoose, Hawlucha, and Barbaracle.
Legendary Bird User	Capture Articuno, Zapdos, and Moltres.
Lens Fan	Capture Venomoth, Venonat, Illumise, and Yanmega.
Live Wire	Capture Togepi, Togetic, Corsola, Remoraid, Delibrd, Togekiss, Darumaka, Durant, Deino, and Zweilous.
Lucky Adventurer	Capture Absol, Murkrow, Honchkrow, Pidove, Tranquill, and Unfezant.
Mantine Friend	Capture Remoraid, Mantype, and Mantine.
Mediator of Truth and Ideals	See Reshiram, Zekrom, and Kyurem.
Metal Fan	Capture Aron, Lairon, Aggron, Bronzor, Bronzong, Scizor, Beldum, Metang, and Metagross.
Mischief Maker	Capture Sneasel, Seedot, Nuzleaf, Shiftry, Weavile, Binacle, and Barbaracle.
Moody Adventurer	Capture Remoraid, Octillery, Smeargle, Snorunt, Glalie, Bidoof, and Bibarel.
Moonlight Fan	Capture Clefairy, Clefable, Lunatone, and Cresselia.
Normal Collector	Capture 48 species of Pokémon that are Normal-type - that is, about half of them.
Normal Master	Capture 96 species of Pokémon that are Normal-type - that is, all of them.
Orgin Hideaway Master	Capture Regigigas, Venusaur, Gyarados, Lapras, Mewtwo, and Moltres.
Origin Hideaway Collector	Capture Machoke, Ivysaur, Ludicolo, Gorebyss, Beheeyem, and Magmar.
Peaceful Gardener	Capture Bellossom, Sunflora, Cherrim, Lilligant, Flabébé, Floette, and Florges.
Pearl Marsh Collector	Capture Wartortle, Emolga, Piloswine, Jumpluff, and Huntail.
Pearl Marsh Master	Capture Palkia, Cresselia, Regice, Ursaring and Starmie.
Plasma Tundra Collector	Capture Marshtomp, Chansey, Skuntank, Glalie, Shiftry, and Scolipede.
Plasma Tundra Master	Capture Swampert, Meloetta, Landorus, Kyurem, Cobalion, and Gliscor.
Poison Collector	Capture 29 species of Pokémon that are Poison-type - that is, about half of them.
Poison Master	Capture 59 species of Pokémon that are Poison-type - that is, all of them.
Pokémon Collector Lv. 1	Capture 10 species of Pokémon.
Pokémon Collector Lv. 10	Capture 700 species of Pokémon.
Pokémon Collector Lv. 2	Capture 25 species of Pokémon.
Pokémon Collector Lv. 3	Capture 50 species of Pokémon.
Pokémon Collector Lv. 4	Capture 100 species of Pokémon.
Pokémon Collector Lv. 5	Capture 200 species of Pokémon.
Pokémon Collector Lv. 6	Capture 300 species of Pokémon.
Pokémon Collector Lv. 7	Capture 400 species of Pokémon.
Pokémon Collector Lv. 8	Capture 500 species of Pokémon.
Pokémon Collector Lv. 9	Capture 600 species of Pokémon.
Pokémon Researcher Lv. 1	See 10 species of Pokémon.
Pokémon Researcher Lv. 10	See 700 species of Pokémon.
Pokémon Researcher Lv. 2	See 25 species of Pokémon.
Pokémon Researcher Lv. 3	See 50 species of Pokémon.
Pokémon Researcher Lv. 4	See 100 species of Pokémon.
Pokémon Researcher Lv. 5	See 200 species of Pokémon.
Pokémon Researcher Lv. 6	See 300 species of Pokémon.
Pokémon Researcher Lv. 7	See 400 species of Pokémon.
Pokémon Researcher Lv. 8	See 500 species of Pokémon.
Pokémon Researcher Lv. 9	See 600 species of Pokémon.
Pokémon Rider	Capture Rhyhorn, Lapras, Latias, Latios, Mamoswine, Skiddo, and Gogoat.
Psychic Collector	Capture 37 species of Pokémon that are Psychic-type - that is, about half of them.
Psychic Master	Capture 74 species of Pokémon that are Psychic-type - that is, all of them.
Quick-Tempered Friend	Capture Mankey, Primeape, and Tauros.
Racing Fanatic	Capture Ninjask, Yanma, and Yanmega.
Rascal	Capture Cottonee, Whimsicott, Tornadus, Thundurus, and Klefki.
Rebel	Capture Pinsir, Cranidos, Rampardos, Axew, Fraxure, Haxorus, Pancham, and Pangoro.
Reckless Rancher	Capture Tauros, Miltank, and Bouffalant.
Resort Diver	Capture Corsola, Luvdisc, Finneon, Lumineon.
Rock 'n' Roller	Capture Camerupt, Rhyperior, Tirtouga, and Carracosta.
Rock Collector	Capture 27 species of Pokémon that are Rock-type - that is, about half of them.
Rock Master	Capture 55 species of Pokémon that are Rock-type - that is, all of them.
Rogue	Capture Greninja, Inkay, Pangoro, and Yveltal.
Rotom Master	Capture all 6 Formes of Rotom: its normal Forme, Rotom-Heat, Rotom-Mow, Rotom-Wash, Rotom-Fan, and Rotom-Frost.
Rotom Researcher	See all 6 Formes of Rotom: its normal Forme, Rotom-Heat, Rotom-Mow, Rotom-Wash, Rotom-Fan, and Rotom-Frost.
Ruby Volcano Beginner	Capture Makuhita, Kecleon, and Darumaka.
Ruby Volcano Collector	Capture Hariyama, Armaldo, Whiscash, and Combusken.
Ruby Volcano Master	Capture Excadrill, Latias, Milotic, and Groudon.
Sapphire Sea Beginner	Capture Abra, Munna, and Lileep.
Sapphire Sea Collector	Capture Kadabra, Sharpedo, Exploud, and Servine.
Sapphire Sea Master	Capture Latios, Flareon, Kyogre, and Serperior.
Sea Drifter	Capture Tentacool, Jellicent, Phione, and Manaphy.
Serene Friend	Capture Psyduck, Golduck, Poliwag, Poliwhirl, Poliwrath, Politoed, Wooper, and Quagsire.
Shining Light	Capture Staryu, Starmie, Chinchou, Lanturn, Volbeat, and Watchog.
Silver Isles Collector	Capture Gabite, Bayleef, Golbat, and Seadra.
Silver Isles Master	Capture Garchomp, Meganium, Entei, and Lugia.
Slithering Trains Fan	Capture Ekans, Arbok, Dunsparce, Seviper, Snivy, Servine.
Slowpoke Friend	Capture Shellder, Slowbro, Slowpoke, and Slowking.
Snow Dweller	Capture Swinub, Piloswine, Glaceon, Mamoswine, Froslass, Cubchoo, Beartic, Snover, and Abomasnow.
Sore Loser	Capture Jigglypuff, Wigglytuff, Igglybuff, Milotic, Gothita, Gothorita, Gothitelle, Pawniard, and Bisharp.
Starlight Islands Collector	Capture Haunter, Sneasel, Maractus, Torkoal, Vespiquen, and Malamar.
Starlight Islands Master	Capture Gengar, Jirachi, Zygarde, Victini, Celebi, and Clawitzer
Steel Collector	Capture 21 species of Pokémon that are Steel-type - that is, about half of them.
Steel Master	Capture 42 species of Pokémon that are Steel-type - that is, all of them.
Stripe Buff	Capture Growlithe, Arcanine, Electabuzz, and Raikou.
Stunt Performer	Capture Drifloon, Drifblim, Purrloin, Liepard, and Hawlucha.
Swamp Dweller	Capture Stunfisk and Whiscash.
Sweet Tooth	Capture Tropius, Cherubi, Swirlix, and Slurpuff
Tail Twister	Capture Sentret, Azurill, and Spoink.
Therian User	Capture the Therian Formes of Tornadus, Thundurus, and Landorus.
Time-Space Observer	See Dialga, Palkia, and Giratina.
Time-Space Traveler	Capture Dialga, Palkia, and Giratina.
Triple Trouble	Capture Dugtrio, Dodrio, Magneton, Exeggutor, Combee, and Hydreigon.
Type Collector	Capture one of every Pokémon type.
Type Researcher	See one of every Pokémon type.
Ultimate Pokémon Collector	Capture all 719 species of Pokémon.
Ultimate Pokémon Researcher	See all 719 species of Pokémon.
Unown Collector	Capture all 28 Formes of Unown: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, !, and ?
Unown Researcher	See all 28 Formes of Unown: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, !, and ?
Vibrant Friend	Capture Mankey, Primeape, Delibird, Vigoroth, and Lillipup.
Vivillon Master	Capture all 20 formes of Vivillon.
Vivillon Researcher	See all 20 formes of Vivillon.
Water Collector	Capture 59 species of Pokémon that are Water-type - that is, about half of them.
Water Master	Capture 119 species of Pokémon that are Water-type - that is, all of them.
White Ruins Collector	Capture Dewott, Stantler, Heliolisk, Vileplume, and Gothitelle.
White Ruins Collector	Capture Samurott, Flygon, Thundurus, Virizion, and Zekrom.
[Species] Collector	Capture 50 Pokémon of the same species: 50 Pikachu, 50 Bulbasaur, etc. There are 719 of these titles, one for every Pokémon species.