Here is the full list of all 33 Take Me To The Dungeon!! achievements.
Clear the succubus dungeon while Una has maximum marks.
Una's direct damage exceeds 9999.
Reach the normal ending.
Fight to the last moment with Mona while discarding all your cards (excluding item cards).
Reach the bad ending.
Lose on floor 100.
Unlock all CGs.
Obtain 170 Lv.3 runes.
All Una's abilities reach max level.
Reach the happy ending.
Win on floor 100.
Unlock all cards.
Clear the succubus dungeon.
Lose on floor 80.
Survive without breaking Mona's charge.
Win on floor 80.
Defeat the Vampire Queen without letting her recover HP.
Trigger 10 trap events.
Defeat the Tentacle Monster without killing any tiny tentacles.
Kill 30 rare monsters.
Kill 150 normal monsters.
Lose on floor 60.
Trigger the slime trap.
Unlock 40 cards.
Win on floor 60.
Defeat Pamela while her clone is still present.
Win on floor 40.
Lose on floor 40.
Unlock 20 cards.
Win on floor 20.
Lose on floor 20.
Trigger the spike trap.
Trigger the chest trap.