Here is the full list of all 17 Zombie Simulator achievements.
Finish Chapter 1
Infect everyone at the Chapter 1
Infect everyone at the Chapter 2
Destroy the helicopter at the Chapter 2
Release the big zombie at the Chapter 3
Infect everyone at the Chapter 3
Hunt three scientists at the Chapter 4
Escape from the Survivor's Camp at the Chapter 5
Infect everyone at the Chapter 5
Prevent all vehicles from entering the shelter at the Chapter 6
Destroy the helicopter at the Chapter 6
Infect everyone at the Chapter 7
Infect everyone at the Chapter 8
Infect everyone at the Chapter 9
Infect everyone at the Chapter 10
Infect everyone at the Chapter 11
Infect everyone at the Chapter 12