Here is the full list of all 24 The Deadly Tower of Monsters trophies - there are 10 bronze, 6 silver, 7 gold and 1 platinum.
Complete all other missions
Destroy 25 target boards
Find 6 missing film reels
Fly through 50 hoops
Kill 3 enemies with parried projectiles
Max out 3 melee weapons
Remove 5 apes with watches from the set
Reach the captain of the ghost pirate ship
Find the castaway ape
Defeat the gigantic mutant octopus
Destroy Dr. Schopenstein's replicator
Destroy 10 target boards
Max out 3 projectile weapons
Destroy all the mutant dinosaur eggs
Kill a large dinosaur with a dagger
Defeat the Mechameleon
Kill 3 enemies with one landmine
Fly through 20 hoops
Kill 10 enemies by jumping on them
Parry 20 enemy attacks
Defeat the Mega-Gorilla
Conquer the Nukular ant hive
Guide 10 enemies into flaming turrets
Rescue Dick from the Mega-Gorilla