Sony Watchman
 

Picked this up at a garage sale:
http://www.wa2ise.com/radios/sony-FD10A.jpg
Appears to work, snow and hiss (as there's no analog around here anymore). Tried a TV modulator loosely coupled to the antenna, I get some sound and barely any picture. I don't think it's broken, just not enough signal. Will try stronger signals later.

Once I did this, it works fine.