Here is the full list of all 16 Zombillie achievements.
Complete 3 levels in a row without restarting or going back to menu
Use 3 distinct hammers on 3 distinct chipped walls in one level
Finish 5 levels without using the clock
Complete 5 levels within maximum time
Collect all possible hearts in the whole episode
Use the clock 10 times in one level
Use the cleaver 10 times in one level
Forcefully enter the one way path 5 times in one level using the beacon light
Make 10 turns on oil slick in one level
Complete the whole episode with 3 stars in every level
Use the teleport 20 times in one level
Guide Zombillie through 4 differently coloured teleports at the same time
Finish the game
Complete the whole game with 3 stars in every level
Squash 100 zombies
Cut Zobillie into 4 pieces