Here is the full list of all 15 Heroes of Loot achievements.
Activate a statue
Slay 5000 monsters
Play in the Arena room
Unlocked Barbarian character
Drink from the well
Kill a minotaur
Maximise dungeon difficulty
Become level 10
Reach dungeon level 15
Get the "Lens of secret"
Kill a cyclops
Become invisible
Save a lost soul
Buy a titanium shield
Upgrade the difficulty of the dungeon