Here is the full list of all 36 Adventure Time: The Secret of the Nameless Kingdom trophies - there are 20 bronze, 11 silver, 4 gold and 1 platinum.
Earn all trophies in the game.
Get Extra Ending 1
Beat the game without upgrading Finn's Thumps, Sword, or Armor.
Get Extra Ending 2
Get the true ending
Find every item in the entire game.
Receive every type of Curse
Max out your Thump Meter
Find every Baggy
Make a mess of the Pottery Shop until you get something nice
Locate the hidden Princess
Find Nightmare Princess
Defeat an enemy after hitting it with both Finn and Jake
Repair the wizard's door
Buy any variety of Trail Mix
Stun 5 enemies with a single Bananarang
Complete the Trading Game
Lie to Marceline
Find every secret Gunter cave
Receive sword training
Shove a Fairy Convict into a Baggy
Win the race against Starchy
Find Slumber Princess
Use Flambo to defeat a Lub Glub
Find a renewable light source
Appease Cinnamon Bun
Attempt to speak to Stanley 5 times
Find a Thump Shard
Squash a Pie Fairy
Find Lullaby Princess
Dance the night away in the Rave Cave
Chop down 999 bushes
Complete the circle of love
Buy an item from Choose Goose
Find a Gum Globe
Get briefed on the mission