I live in Japan and my local junk shop gets A1 and AE1 cameras at least a couple times a month. I usually buy them for $5 apiece (which usually includes a lens), clean them up, and sell them on eBay.
The squeaky shutter/dragging mirror problem is not difficult to fix, there are a few methods on the internet on how to fix the problem if you search around. If you are looking for a simpler and more reliable FD body, pick up an FTb. I've had a couple which saw years of use and had no problems at all. They are a little clunkier than an AE1, but they are more ruggedly constructed, and will still function if the battery dies.