Pipedreams - Minnesota Public Radio's long-running organ program, hosted by Michael Barone, has complete listings of all programs since the series began. Even more, you can listen to complete programs from the last several years - rotten fidelity for the first few, quite acceptable sound since about Feb. 2003. You can make contributions specifically to support Pipedreams online programming - I've done it, since there's no local public radio music programming here in Milwaukee.
Alternative listening sites: check http://jrabold.net/radio/ for a wonderful service that automatically directs you to live webcast times from stations around the country (even calculating time zone differences for you!)
Formats:
mp3, 128 kbps (most recent), requires Flash player
Windows Media, 32 kbps
Real 32 kbps (through 1/9/2006)
Real 20 kbps, extremely poor fidelity due to badly-processed files (through 2/3/2003), much better after that date
Listen on demand: Yes (all available) Windows Media, 32 kbps
Real 32 kbps (through 1/9/2006)
Real 20 kbps, extremely poor fidelity due to badly-processed files (through 2/3/2003), much better after that date
Problems: Site is not clear that Flash Player is required