Enter a non-live BBC iPlayer URL:
e.g. http://www.bbc.co.uk/iplayer/episode/b06h9y66/

You can also use ?id= to specify a programme ID directly to bypass this form
e.g. http://iplayer.of.je/?id=b06h9y66

You can open the resulting file in VLC, or your preferred player.
Alternatively, use the direct URL directly in your player.

If you get a blank page, please try again as the request occasionally fails.

Source code?