Here is the full list of all 15 ZombieRush achievements.
Go through the first 3 levels
To collect 500 units of food
Pass the second level
To collect 200 units of food
To lose 10 times
Pass the first level
To collect 50 units of food
Run the first level
To lose a hundred times
Get past the first world
Go through the second world
Complete all worlds
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