There are three that i know of. Stubbs the Zombie, Zombie Panic, and to some extent, Left 4 Dead.
There are games that have zombies as characters for PS3
yes
Probably
Plants Vs. Zombies
no
If you get call of duty black ops there is a zombie mode and you can play it online.(There are other call of duty's with zombie modes.)
For more there are so many Zombie Survial games to play but the best zombie survival games are Resident Evil 2 State of Decay 2 Project Zomboid and you visit this blog to learn more : newone.games/best-zombie-survival-games/ Best Zombie Survival Games Best Zombie Survival Games
there is endless zombie rampage 1 and 2
The two games that come to mind are any of the Left4Deadseries that allow you to play as infected characters or for a totally zombie based game, Stubbs the Zombie: Rebel Without a Pulse might be a good choice.
No though many cartoons nowadays and even games have zombies in them. Thanks Gaurang
All zombie games usually involve weapons being used to fight off a zombie infection. Zombie games usually also have an element of suspense or scariness to make the game more surreal.
One can play the Zombie game in the following websites; Free World Group, Y8, GameShed, Kotaku, LFZombie Games, Armor Games, Zombie Games, and Kongregate.