Even though I am always talking about the cool apps I have - the general consensus on them tends to be people telling me that they suck.
But! I think I finally found one which is really amazing.
WFMU radio.it's free.and it's non-commercial.
You can listen to their live stream straight from New Jersey or listen to a bunch of their podcasts. I'm particularly enjoying the antique phonograph show.
If you want to waste a whole lot of time then start reading their blog.
Or go explore the Free Music Archive.