The various notes explain why they are free more than
the minimal potential value to a WW shop; generally they are relatively low power; induction not capacitor for heavy load - the washer's drive chain handles that; they don't have mounting plates that readily lend themselves to equipment; no, they don't reverse themselves - the reverse operation is in the washer through shifting belts or gears on simple clutch mechanisms;
as several notes point out, they differ drastically in direct drive away from belt drive depending on the vintage o the original washer; the kluge of relays us pain to figure out....
Kraig's list is free I believe so people don't want to pay recycling fees and advertise them just for the heck of it.
Use for old washer motors
I used one to run a Craftsman lathe, with stepped pulleys on both the motor and the lathe. I used another one to run an apple chopper on a cider press made from a Mother Earth News plan. The chopper was made from parts of a car's starter motor, built into a plywood box/chute.