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