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