For fun, I would try out new improvised weapons to kill zombies with. But at the beginning of the ZPAW I would go to the dmv or bmv. Bare with me now I know it sounds weird, but I would use their computer system, if I could find a power source, to track down some exotic cars people own in the area like a ferrari and live out some teenage GTA fantasy side swiping zombies all the way until the gas ran out.

I'll probably just play Poker or something for "fun". It'll be hard to think about recreation when zombies are scratching at your door, but a loaded shotgun on the other side would be reassuring.

Added: Reading, actually, would probably be my main activity.