Here is the full list of all 25 The Deadly Tower of Monsters achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Destroy 25 target boards
Complete all other achievements
Remove 5 apes with watches from the set
Find 6 missing film reels
Find the castaway ape
Reach the captain of the ghost pirate ship
Fly through 50 hoops
Max out 3 projectile weapons
Max out 3 melee weapons
Defeat the gigantic mutant octopus
Destroy Dr. Schopenstein's replicator
Destroy all the mutant dinosaur eggs
Kill a large dinosaur with a dagger
Defeat the Mechameleon
Destroy 10 target boards
Kill 3 enemies with parried projectiles
Fly through 20 hoops
Defeat the Mega-Gorilla
Parry 20 enemy attacks
Kill 3 enemies with one landmine
Conquer the Nukular ant hive
Kill 10 enemies by jumping on them
Guide 10 enemies into flaming turrets
Rescue Dick from the Mega-Gorilla
Complete 18 waves in survival mode