Watching people be idiots on The Walking Dead has made me wish for a strategy game like Settlers or Civilization set in the zombie apocalypse.
Survive the initial chaos, escape the disaster zone while dodging ghouls and crazed survivors, befriend others to join your gang of survivors. Travel to a safer place or stand your ground. Build defenses and warning systems. Send out raiding parties to forage for supplies, weapons and equipment. Provide shelter, food and water for your group. Maintain morale and defend against hostiles, living or undead. Flee fires, toxic spills and the air force's last-ditch carpet bombing campaigns. Resolve internal group conflicts and determine what limits still exist on acceptable behavior and use of violence. Grow food, and figure out how to protect it against other, starving survivors. Decide on a system of government for your colony. Establish links with other pockets of survivors. Begin the long work of reconsolidating civilization and purging the land of zombies.
I always liked strategy games like that where you have to keep a society alive against various threats. I think this scenario would offer a cool twist on the genre.