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