Here is the full list of all 17 Zombie Town achievements.
Die to the Zombies.
Put a pipe bomb to good use.
Construct something in your new base.
Fully upgrade all buildings.
Kill the zombie bird.
Kill the zombie dog.
Kill the giant zombie.
Stockpile 99+ of the same ammo type.
Assemble a full crew of 12 people.
Kill every zombie in a level.
Max out a skill.
Equip the riot helmet and body armor.
Find a doctor.
Find a chef.
Find an engineer.
Find a leader.
Find a soldier.