Even though I have dropped a lot of jaws by showing off the instantaneous video highlights that MLB.com's iPhone app provides, it is certainly lacking in the statistics department. ScoreMobile picks up the slack. The application gives live standings, lineups, and a variety of other statistics. Even though it doesn't have video highlights like MLB's app, the statistics provided here are much more robust.
The lack of sports applications that are available for the iPhone is really amazing to me. There is certainly a large market of sports fans out there, waiting to be tapped into. Despite the apparent void of good sports applications, ScoreMobile's app for iPhone is clearly the best available right now. It serves up rich and timely statistics and has a slick UI. The best part is that it's free, so it's worth your click to download it at the very least. You can give it a try here.