Here is the full list of all 22 Loot Rascals achievements.
Reach World 2
Meet The Thing Below for the first time
Beat the tutorial
Unlock all the other trophies
Reach World 3
Reach World 4
Reach The Last World
Beat The Thing Below
Escape within 600 turns
Escape within 30 minutes
Kill Space Death
See all the unique cards
Kill one of every enemy
Use the healing machine 5 times in one game
Trap yourself with an ice block
Kill 6 enemies at once with plasma
Kill 4 enemies with a bomb
Complete all the quests in one playthrough
Beat a world without taking damage
Set a practice deck for each world
Achieve 100% journal completion
Beat a whole world using the Chronoflage