Complete the following tasks to unlock Vita trophy rewards.

Trophy	How to unlock
A Day in the Life of a Bun (Bronze)	Appease Cinnamon Bun.
A Good Idea at the Time... (Gold)	Get the true ending.
A Penny Burned (Bronze)	Buy an item from Choose Goose.
Ambitreacherous (Gold)	Beat the game without upgrading Finn's Thumps, Sword, or Armor.
Bad Timing (Bronze)	Win the race against Starchy.
Be More (Gold)	Find every item in the entire game..
Billy's Bucket List (Platinum)	Earn all PS3 trophies in the game.
Blade of Grass (Silver)	Receive sword training.
Burning Low (Bronze)	Use Flambo to defeat a Lub Glub.
Dungeon Train (Bronze)	Find Slumber Princess.
Food Chain (Bronze)	Buy any variety of Trail Mix.
From Bad to Worse (Bronze)	Find a renewable light source.
Gotcha! (Bronze)	Shove a Fairy Convict into a Baggy.
Henchman (Bronze)	Stun 5 enemies with a single Bananarang.
It Was a Dream All Along! (Silver)	Get Extra Ending 2.
It Was a Song All Along! (Silver)	Get Extra Ending 1.
Jake Suit (Bronze)	Defeat an enemy after hitting it with both Finn and Jake.
Level 99 (Gold)	Chop down 999 bushes.
Love Games (Bronze)	Complete the circle of love.
Marceline's Closet (Bronze)	Lie to Marceline.
Ocean of Fear (Bronze)	Find Nightmare Princess.
Play Date (Bronze)	Locate the hidden Princess.
Princess Day (Bronze)	Get briefed on the mission.
Rattleballs (Bronze)	Find a Gum Globe.
Red Starved (Bronze)	Find a Thump Shard.
Sad Face (Silver)	Make a mess of the Pottery Shop until you get something nice.
The Enchiridion! (Silver)	Complete the Trading Game.
The Party's Over (Silver)	Dance the night away in the Rave Cave.
The Pods (Silver)	Find every Baggy.
The Real You (Silver)	Find every secret Gunter cave.
The Red Throne (Silver)	Max out your Thump Meter.
The Stanley Grayble (Silver)	Attempt to speak to Stanley 5 times.
The Vault (Silver)	Repair the wizard's door.
Wake Up (Bronze)	Find Lullaby Princess.
Why Did You Do That? (Bronze)	Squash a Pie Fairy.
Wizards Only, Fools (Bronze)	Receive every type of Curse.