Here is the full list of all 31 The Adventure Pals trophies - there are 12 bronze, 13 silver, 5 gold and 1 platinum.
Get all achievements
Use the Cupcake Converter
Make it to the second island
Be part of the adventure when the first Cupcake is collected
Complete your first objective
Get your first pal
9 adventurers lost so far, but don't give up!
Be part of the adventure where the 10th enemy is vanquished
Use a Weapon Mod
Level up your abilities for the first time
Be part of the adventure when the 10th Cupcake is collected
Be part of the adventure when the 20th yak is killed on the world map
Defeat Treefist
Defeat The Breakfast Buccaneer
Defeat the Veggiesaur
Defeat Mr B's Crab Mech
Defeat Mr B's Hot Dog Monster
Start a co-op game
Complete a stage in less than 3 minutes
Give the whale the old man's underwear
Be part of the adventure when the 50th old person is freed from a hotdog
Defeat all the arenas
Kill an enemy that has been converted in to a bunny
Find 50% of the stickers
Beat an arena
Be part of the adventure when there has been a total of 5 minutes giraffe-coptering
Be part of the adventure when the 100th enemy's head is jumped on
Fill up your sticker book
Unlock all costumes
Fully level up
Finish the game