I recently got a Droid and like it. While not quite at the iPhone level, there are numerous fun apps for the device. Too many to keep track of, really.
That's where this thread comes in. Most people know of Shazam and Pandora, but there are plenty of mobile apps that are equally (or more) cool, but not as popular. Though I personally have a Droid, iPhone apps are also fair game.
Zombie, Run! (Android) is an app that uses Google Maps to generate zombies as obstacles between you and a chosen destination. You first select the speed and density of the zombie population, then choose your destination. Keeping track of you through your phone's GPS, you must avoid the hordes while you make your way to said destination. It basically turns walking into a pretty fun game. There is multiplayer if you have friends with Android phones.