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