High sensitivity GPS is another field that is working to make GPS units faster and more accurate. While it is not the same as A-GPS systems, being independent of outside servers, it works along the same lines.
Hybrid positioning systems are another allied technology. In such systems, a device uses any available information from any network, be they global networks such as GPS, local satellite position networks, cell networks, a wireless Internet connection, whatever it takes to locate you. Such systems can work with any combination of the above. However, they are still very much in development, and haven't become completely feasible for consumer use.
For more information, check out this extensive series of articles on A-GPS from GPS World.