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