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