Here is the full list of all 15 Zap Zap Zombie Cats achievements.
Complete Tutorial
Complete First World
Zap at least 5 Zombies with each kind of turret
Start up the game.
Complete Second World
Complete Third World
Zap 100 Zombies with Porter's Grenade
Zap 300 Zombies during Puck's Overdrive
Restore 600 Health to Turrets with Mitt's Mouse Droid
Zap 200 Zombies
Zap 450 Zombies
Zap 800 Zombies
Upgrade a turret to max level
Zap 10 Kamikaze Cats before they explode
Collect a total of 100000 Gold across all rounds