Around here, I don't think too many would bother with an old car. Too much research involved. When I think of the effort required to properly list vintage parts on eBay, you have to know what you are doing. Jeez, I'd rather sell Ford Fusion wheels, Toyota airbags, or recycle the cats…no effort required.
They go for Catalytic Converters; airbags, and wheels. Every now and then one of the TV news stations has something about it, and the thieves can remove any or all of these things in seconds. BIG black market for all of them, particularly for the popular cars…Honda, Toyota and Ford.