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
Find 6 missing film reels
Destroy 25 target boards
Parry 20 enemy attacks
Kill 3 enemies with parried projectiles
Remove 5 apes with watches from the set
Fly through 50 hoops
Reach the captain of the ghost pirate ship
Defeat the gigantic mutant octopus
Destroy Dr. Schopenstein's replicator
Find the castaway ape
Max out 3 projectile weapons
Destroy all the mutant dinosaur eggs
Defeat the Mechameleon
Destroy 10 target boards
Kill 3 enemies with one landmine
Max out 3 melee weapons
Fly through 20 hoops
Defeat the Mega-Gorilla
Kill a large dinosaur with a dagger
Conquer the Nukular ant hive
Kill 10 enemies by jumping on them
Guide 10 enemies into flaming turrets
Rescue Dick from the Mega-Gorilla