I do like zombie games. Zombie movies? Not so much. I cant put a finger on it, but mostly its because people act pretty retarded in zombie movies, and its too painful to watch.
To the special zombies thing: I dont think zombies themselves are very realistic. Zombies would kill themselves off after a few weeks (starvation, natural hurdles like rivers, predators... and well, humans (being the apex predator and all)). Making them even less realistic by giving them mythical properties that do not really foot on physical possibilities (read: making them super strong, fast, spit acid, invisible, extend limbs or tentacles for dozens of metres or explode) doesnt help films (makes them even trashier) but makes sense in games to add a challenge (slow zombies only go so far for a challenge... and making them simply bullet sponges really doesnt help gameplay - though the Tank in L4D and L4D2 really are just that. Annoying Bulletsponges.). Zombie games cant cope with the horror of having to kill or be chased down by your neighbours while you are only armed with a kitchen knife (which does absolutely nothing), so they give you the superpowered zombies to scare you. Which doesnt really work, but is more fun than the (bulletspongy) shamblers are or would ever be.