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