Tough luck, Continental Airlines. Jupiter Research reports that American Airlines has upped the mobile ante beyond flight check-in: the site shows a number of new features for mobile devices that access aa.com such as view your itinerary, change flights, book flights, buy upgrades, get delayed baggage status, and support for Spanish.
Users will need their AAdvantage number and AA.com password to login. No word on whether there's a version optimized for the iPhone.
It's my impression that the success of many of these mobile experiences would benefit from incorporating interactive voice response as a part of the mobile experience. For example, if you were to call American Airlines at 800-882-8880 from your mobile phone, you might appreciate a text message with Tinyurl-style links to the web pages travelers like yourself had found most useful: flight status, weather, or updates to arrival/departure time.