There is no story mode but there are several objective based maps where completion can take from 15-60 minutes.
No More Room in Hell: As mentioned by WildKiller before it is a slower approach for the zombie games.Can be quite fun if you don't have a problem with the controls. Up to 4 players in some competitive modes. RE5/RE6 (although RE5 technically is not a zombie game): 2 player co-op for story and mercenary mode.Hm, are there any limitations like local/online co-op only? Or the number of players? By the games you present I will just assume you are searching for online co-op games.