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