Here is the full list of all 33 Equin: The Lantern achievements.
Win the game as a cultist. VERY HARD.
Win the game as a cleric
Equip at least 3 of the special hero gear and visit their hidden camp
Win the game as a Wizard
Fish the Water Dragon out of a pond and kill it
Win the game as a Thief
Equip 4 pieces of cursed gear and eat bones off the dungeon floor
Kill the Hell Hound boss
Win the game as a Warrior
It's floor 50. Do you risk it all and try to kill the Lich or find the stairs to end the game?
Reach Floor 50
Locate a quiet floor and eliminate the Reaper
Catch a rare breed of fish
Clear Floor 40
Kill the Golden Dragon boss
Clear Floor 30
Kill the Rift Fiend boss
Amass $5000 in cash
Clear Floor 20
Kill the Ninja boss
Locate a graveyard and kill a Ghost there
Steal an item from an enemy
Clear Floor 10
Kill the Troll boss
Go back and defeat a Killer Plant: Terror of your early games!
Rest at a Bonf- ah.. CAMPFIRE!
Eat some poisoned mushrooms. Sorry!
Earn 10,000 points upon death
Visit your first shop
Allow equipped wooden gear to burn away by fire
Visit your first guild
Disarm and open a shadow chest
Eliminate a champ class monster