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