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