I can't count the number of hours I spent at the UT Music Library on a Performa or Quadra or Centris (I had a Centris 610 at the time) playing Daleks. Strangely addicting but incredibly simple, the game mechanic has been repeated often in the casual game universe, and Daleks was essentially a rip of Robots on UNIX. You try to get away from something, one step at a time, as those somethings inch ever closer, one step at a time. It's turn-based "tag." There's a terribly unsatisfying and buggy version called SuperDaleks for OS X here.
Zombies is a bit of an update for the venerable classic, although there's also a classic game called Zombies using the very same mechanic -- nothing new under the sun, eh? But intead of dusting off that old IIsi, you can play Zombies on your iPhone or iPod touch. The developer added spells, allowing you to do something out of the norm each round. So, for example, you could teleport (sometimes seen in variations of this game). You can also destroy zombies with a spell, handy when you're in a no-win position.
The preview you see here is the unfinished version, but it's shaping up to be a pleasant reimagining of a classic. We'll post on Twitter when it's available.