Here is the full list of all 22 Tower of Waifus achievements.
Max all stats
Deals 250 or more damage in a single move
Clear the 10th floor
Active spells 50 times
Accumulate 30 Mana in one date
Clear the 9th floor
Clear the 8th floor
Clear the 7th floor
Clear the 6th floor
Owned at least more than 20 spells at the same time
Clear the 5h floor
Clear the 4th floor
Starting the battle with a bonus Rage
Starting the battle with a bonus Moves
Clear the 3rd floor
Starting the battle with a bonus Mana
Create a super gem by 7 adjacent gems matched
Starting the battle with a bonus HP
Defeat enemy with at least 16 Moves remaining
Play a training battle
Clear the 2nd floor
Clear the 1st floor