I have a little Sony SRF-M37W that I picked up as a refurbished unit at a factory outlet fixe or six years back. I think I only paid about $20 or 30 for it, but I got it because it runs off a single AAA battery and receives NOAA Weather band in addition to AM/FM.

It appears to now be a discontinued model, but there seem to be quite a few around on ebay for good prices.

It has ridden around in my computer bag since I bought it, and it still does its job just fine.