Here is the full list of all 22 Warlock's Tower trophies - there are 5 bronze, 8 silver, 8 gold and 1 platinum.
Get all the trophies
Beat all Chambers stages
Finish the game
Talk to Keen's Kim
Reach the game's last world
Beat all Library stages
Talk to Möira's Rubick
Play a stage where there's a Fleye
Reach the game's fourth world
Talk to the Racketboy himself
Beat all Warehouse stages
Play a stage where there's a Slime
Reach the game's third world
Talk to Puzzle Depot's Todd Torial
Beat all Factory stages
Talk to Jess for the first time
Get the Magic Flag artifact
Reach the game's second world
Talk to Lenda do Herói's Hero
Beat all Dungeon stages
Play a stage where there's a Zombie
Talk to the Evil Warlock for the first time