Here is the full list of all 15 ZombieRush achievements.
Pass the second level
Pass the first level
To collect 50 units of food
Run the first level
To lose 10 times
To lose a hundred times
Go through the first 3 levels
Get past the first world
Go through the second world
Complete all worlds
To collect 200 units of food
To collect 500 units of food
To score 25 units of food in the fourth level
Collect 77 of sweets on 10th level
Collect 5 units of food on 14th level