United States Weather Radar Data Feed or API?
NOAA has a SOAP API: http://www.nws.noaa.gov/forecasts/xml/
Several private APIs are listed here:
http://www.programmableweb.com/apis/directory/1?apicat=Weather
I was looking for radar data awhile back to overlay on a google map. This site offers it for free and they provide some sample code to get started for google maps and some other online maps:
IEM Open GIS Consortium
The map tiles they provide are not limited to radar and as far as I can tell they are all free to use.
Radarmatic has a JSON API at http://radarmatic.com/api.html
Update: link broken, project no longer active