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