By this point, most Facebook gamers are used to the concept of pet simulation titles - those games like Pet Society and PetVille that allow you to care for a pet of your own creation. Majesco is looking to capitalize on those games' success with the release of Pet Zombies on Nintendo's 3DS handheld console.
Pet Zombies calls itself a spoof on the pet sim genre, and allows you to actually harm your zombie, along with taking care of it. As your pet zombies are already dead, they can't "die" again, so you can torment them instead for your own amusement. Set them on fire and they'll jump shamble around the screen madly until the fire burns out (that's just one example). Zombies, like pets, do have their own special... dietary needs, and you'll need to feed and otherwise care for your zombie if you'd like their bodies to be maintained as long as possible (don't worry - the decay and graphics look more cartoon-inspired than graphic).