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
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 10 enemies by jumping on them
Kill 3 enemies with parried projectiles
Complete all other achievements
Complete 18 waves in survival mode