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