The AppStore is flooded with zombie apps,but why aren't there any zombie games like "Dead Island"? If there is one,please tell me.I know,there were once a game in progress,name was "Undead Arcade",but i think it's cancelled. Greetings C
N.Y.Zombies 2 would be your best bet, but I highly reccomend you play The Walking Dead, it's a great, emotional adventure game, and available on pretty much any platform you can think of.
There aren't any zombie games like Dead Island on iOS as far as I know, but there are some good zombie games.
Dead Rising Mobile is not great, but it's got the components you're looking for. I'm not sure how up to date Capcom keeps it. Indigo Lake doesn't have zombies but it's an atmospheric open world horror themed game despite some limited geography.
I think the store is too cluttered with Zombie games. Anymore and it could turn our devices into one.