Dead State: The Zombie Apocalypse Game You’ve Been Dying For

This game should satisfy your undead gaming urges.  Says Destructoid:

Developed by DoubleBear, among whose members were once of Obsidian Entertainment and Troika Games (the Arcanum people), Dead State takes survival beyond just getting to the chopper/boat/car and concentrates on the big picture. Set in the fictional Texas town of Splendid, the player manages a local shelter while going out to find food and supplies, gather townsfolk, and even make allies (or enemies) out of other groups of survivors.