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