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.
Conquer the Nukular ant hive
Kill 10 enemies by jumping on them
Rescue Dick from the Mega-Gorilla
Kill a large dinosaur with a dagger
Fly through 20 hoops
Find 6 missing film reels
Guide 10 enemies into flaming turrets
Defeat the Mega-Gorilla
Max out 3 projectile weapons
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
Parry 20 enemy attacks
Destroy 10 target boards
Kill 3 enemies with parried projectiles
Complete all other achievements
Complete 18 waves in survival mode