Complete the following tasks to unlock Vita trophy rewards.

Trophy	How to unlock
3x OVERTIME!! (Silver)	Enter 3x AP Overtime!
All-Star Legend - You've Only Done Everything (Platinum)	You have successfully earned all other trophies in the game. Congratulations!
Ally of Larry Da Vinci (Bronze)	Perform a Level 3 Super with Sackboy on 'Dreamscape'
Autarch of Helghan (Bronze)	Perform a Level 3 Super with Radec on 'Invasion'
Cake, please! (Bronze)	Complete Arcade Mode with Fat Princess
Calypso's Wishes (Bronze)	Perform a Level 3 Super with Sweet Tooth on 'Black Rock Stadium'
Champion (Silver)	Win a Versus Match against a team of three AI opponents
Character Mastery (Bronze)	Complete a Combo Tutorial
Combo King (Bronze)	Land a 50+ AP Combo in Practice Mode
Combo Virtuoso (Silver)	Land a 70+ AP Combo in Practice Mode
Demon Hunter (Bronze)	Complete Arcade Mode with Dante
Demon of Empire City (Bronze)	Complete Arcade Mode with Evil Cole
Eco Master (Bronze)	Complete Arcade Mode with Jak
First Blood (Bronze)	Earn a Kill in a match-made online game
Friend of the People (Bronze)	Complete Arcade Mode with Toro
Friendly Competition (Bronze)	Complete a Versus Match against an online player
Fundamentals (Bronze)	Complete the Basic Tutorial
Greatest Conduit (Bronze)	Complete Arcade Mode with Cole
Heavenly Warrior (Bronze)	Complete Arcade Mode with Nariko
Helghast Commander (Bronze)	Complete Arcade Mode with Radec
Hero of Gallowmere (Bronze)	Complete Arcade Mode with Sir Daniel
I Chose The Impossible (Bronze)	Perform a Level 3 Super with Big Daddy on 'Columbia'
I Gotta Believe! (Bronze)	Complete Arcade Mode with PaRappa
Intergalactic Heroes (Bronze)	Complete Arcade Mode with Ratchet
Interpol HQ Break-In (Bronze)	Perform a Level 3 Super with Sly Cooper on 'Paris'
Kerwan's Capital City (Bronze)	Perform a Level 3 Super with Ratchet on 'Metropolis'
Let's Make a Scene (Bronze)	Complete Arcade Mode with Sackboy
Master of the Ray Sphere (Bronze)	Perform a Level 3 Super with Cole or Evil Cole on 'Alden's Tower'
Monkey Catcher (Bronze)	Complete Arcade Mode with Spike
Mr. Bubbles (Bronze)	Complete Arcade Mode with Big Daddy
Oh Boys and Girls (Bronze)	Complete Arcade Mode with Sweet Tooth
Palace of the Underworld (Bronze)	Perform a Level 3 Super with Kratos on 'Hades'
Revengeance (Bronze)	Complete Arcade Mode with Raiden
REX versus RAY (Bronze)	Perform a Level 3 Super with Raiden on 'Franzea'
Samos' Sacred Site (Bronze)	Perform a Level 3 Super with Jak on 'Sandover Village'
Showing Off (Bronze)	Show off your Minion during a game
Sic Parvis Magna (Bronze)	Perform a Level 3 Super with Nathan Drake on 'Stowaways'
Student Becomes the Master (Bronze)	Perform a Level 3 Super with PaRappa on 'Dojo'
Team Sweeper (Silver)	Earn a Double Kill in a 2v2 match-made online game
The Doctor Is In... (Bronze)	Perform a Level 3 Super with Ratchet on 'San Francisco'
The God of War (Bronze)	Complete Arcade Mode with Kratos
The Iron Fist (Bronze)	Complete Arcade Mode with Heihachi
The Legend (Bronze)	Complete Arcade Mode on Legend
The Peak Point Helmet Blues (Bronze)	Perform a Level 3 Super with Spike on 'Time Station'
Thievius Raccoonus (Bronze)	Complete Arcade Mode with Sly Cooper
This is Living (Silver)	Win a match-made online game without dying
Three for One (Gold)	Earn a Triple Kill with a Level 1 Super Attack
Tournament Fighter (Bronze)	Complete an online Ranked Match
Treasure Hunter (Bronze)	Complete Arcade Mode with Nathan Drake
Trial Combatant (Bronze)	Complete a Combat Trial
Triple Kill! (Silver)	Earn a Triple Kill in a match-made online game
Two for One (Silver)	Earn a Double Kill with a Level 1 Super Attack
Ultimate Power (Bronze)	Perform a Level 3 Super Attack
Victorious! (Silver)	Win a match-made online game
We have Overtime! - Working Weekends? (Bronze)	Enter Overtime!