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
Max out 3 melee weapons
Kill 3 enemies with parried projectiles
Find the castaway ape
Remove 5 apes with watches from the set
Reach the captain of the ghost pirate ship
Fly through 50 hoops
Fly through 20 hoops
Kill 10 enemies by jumping on them
Parry 20 enemy attacks
Guide 10 enemies into flaming turrets
Find 6 missing film reels
Max out 3 projectile weapons
Destroy 10 target boards
Kill a large dinosaur with a dagger
Kill 3 enemies with one landmine
Defeat the gigantic mutant octopus
Destroy Dr. Schopenstein's replicator
Destroy all the mutant dinosaur eggs
Defeat the Mechameleon
Defeat the Mega-Gorilla
Conquer the Nukular ant hive
Rescue Dick from the Mega-Gorilla