Here is the full list of all 35 Adventure Time: The Secret Of The Nameless Kingdom achievements.
Choose Slumber Princess to rule
Choose Lullaby Princess to rule
Find everything in the game
Choose Nightmare Princess to rule
Find all thump shards / spare thumps
Complete the Trading Game quest
Find all five baggies
Complete the Door Repair quest
Complete sword training
Break the pot breaking record
Complete the Dungeon Drama quest
Complete the Fear Temple
Stun 5 enemies with a single Bananarang
Kill an enemy after both Finn and Jake have attacked it
Receive every curse
Lie to Marceline
Find every Gunter cave
Party in the Rave Cave for 11 minutes and 12 seconds
Beat Starchy's Graveyard Fun Run
Complete the Dream Temple
Kill a Lub Glub using Flambo
Talk to Stanley five times
Complete the Terrible People quest
Find a thump shard
Complete the Cinnamon Fun! quest
Complete the Love Note quest
Chop down 999 bushes
Store a Convict Fairy in a baggy
Buy any trail mix
Use Grabby Hand on a Pie Fairy
Complete the Song Temple
Find a gum globe
Buy something from Choose Goose
Complete the tutorial
Beat the game with 3 thumps, without upgraded sword, shield, or armor