Here is the full list of all 25 Quest of Dungeons achievements.
Beat Rackan Mansion
Defeat 20 Bosses
Beat Game in Normal
Disarm a trap and get loot!
Beat Game in Easy
Beat Game with Assassin
Unlock a door
Unlock Chest
Beat a Boss
Complete a quest
Beat Game in Hard
Beat Game with Shaman
Beat Game with Warrior
Beat Game with Wizard
Beat Game in 30m
Buy all stock
Complete 50 quests
Find 50 hidden stash
Pick 1M Gold
You listened until the end
Beat Game in Hell
Defeat 3 ghosts of a past Hero
Beat a Custom game in Hard or above with 10 floors
Beat Game with NecroDancer
Beat the Rothar Mansion