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