Batman Zombie Smasher - Road Rage Game Against Zombies
If you look around the batmangamesonly, and your best option is to type in word 'zombie' into a search box in the top left corner, you will find a lot more zombie games with Batman. As you can see, Caped Crusader takes his role in saving the world very seriously. Therefore, no matter what the threat is, whether it comes from the living or dead, it's under the Bat-man's radar.
Take a look at Batman vs Zombies or Batman Drift Smash, or maybe Gauntlet Of Doom 3, those or just some of the finest titles about Batman fighting zombies.
The game features 3 vehicles in 7 different worlds, which means 7 different tracks for you to drive batmobile while having a blast squashing zombies. At the beginning, only the first world is unlocked to get you started, but to see the rest you'll have to finish the previous tracks.

The rules are that you need to kill 40 zombies in 2 laps (400 m) in less than 2 minutes. And this is just a warm up. Higher 'worlds' raise these numbers so it will get harder gradually. Interestingly, the game does not stop when you reach the task's minimum. It keeps going so you can kill more zombies and therefore earn better score. The only problem is that I don't see why do you need those point for, because getting a better car is conditioned with not how many zombies you have squashed but only with the number of levels you have completed.