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