Here is the full list of all 21 Zombiotik achievements.
Build a structure with 3 adjacent blocks
Build a structure with 9 adjacent blocks
Build a tower with up to 5 blocks
50 blocks destroyed
250 blocks destroyed
1000 blocks destroyed
50 human infections
250 human infections
1000 human infections
Infect 3 players within alloted time
Infect 5 players within alloted time
Infect 7 players within alloted time
Obtain all power-ups in a single game
Succeed 3 "Close calls" in a single game
Succeed 10 "Close calls" in a single game
Destroy at least 10 structures in a single game
Destroy at least 30 structures in a single game
Destroy at least 50 structures in a single game
Destroy at least 8 structures with explosive rage
Obtain a perfect score in "Rescue" mode (3 points while others have 0)
Obtain a score of 500 points or more in "Outbreak" mode