Have you tried Total Recorder? Really, you should.
The standard version is an $11.95 download which went quickly, even on my elderly dial-up. Total Recorder will record whatever audio passes through the sound card of your computer.
I'm using it right now to record an old THIS AMERICAN LIFE from 1997. There's all sorts of great audio on the web, of course. The BBC, NPR. And music of course. Forget ordinary old file swapping, how about recording a chunk of YFM's streaming broadcast "Playing the best mix of original, Urban South African music and international artists." Amazing commercials and The Morning Zoo format from very far away.