They used to go in my equipment closet.
I had a pair of FAs, both with bad shutters. They could not be fixed as no replacements for the titanium shutters are available and no other shutter curtain will work. the cost of having a good shutter changed out from a used camera (with no guarantee of how long that one will last) was cost prohibitive.
I had a couple of other older Nikons with bad advance mechanisms. I bought them used off Ebay and they both broke after about a year. I basically got off the used SLR merry-go-round, traded my broken Nikons for some darkroom stuff at a swap meet and bought a new Bessa.
As far as what to do with a broken camera, offer it up on Ebay. Better to get $20-$40 for it as opposed too having another paper weight lying around.