Mobile home furnaces is where I saw 1/4 hp shaded pole motors. Think I've even seen cheap grinders with large shaded pole motors.
Once I saw a shaded pole fan, reversable. Used wires for shade and by connecting wires together and opening the other side motor would revers.
Some people think that just because they haven't seen something, it doesn exist. There is a lot to be learned if Everyone keep an open mind.