Get the FE (assuming you have Nikon lenses). If you have Canon lenses, get the AE-1 Program, which has exposure lock and a brighter focus screen. It will also be a little newer than the AE-1. But for my money the FE is a lot better camera. Here's a review from everyone's favorite photographer :] You can also use Leica R lenses on the Nikon w/ a cheap adapter, which is always a good thing.
Keep in mind that the Canon lenses mount and focus backwards.