I have discovered a quick and easy workaround to solve the problem with wanting to record as streams things from the BBC radio "Listen Again" facility.
When you play something, it defaults to "Dial-up modem version: OFF" within the BBC iPlayer Radio Console. If you click on this, to turn it "ON", you will then find it streams the same stuff, but in a form
Replay AV 8 can identify. The iPlayer Radio Console remembers how it was last left in this manner. So now within Replay AV 8 use the URL Finder under Tools, and go and play a Listen Again programme. It will open up as a RealPlayer feed and you can then see in it Replay AV 8 and save and name it as it always used to be done.
I think that the "Dial-up modem version: OFF" setting is to be preferred if just playing something in real time whilst at your PC, somewhere I think I read that the quality is supposed to be improved in this mode.