For password protected sites you may use WM Recorder in the PRO or ADA mode. It will capture packets from your Real Player.

Sometimes you may also use other software. Often you need cookies suppoort in your stream recorder. Some URLs have timestamps so they expire quickly and you have to find the stream URL just before recording. And some stream recorders allow support several types of authentication and you can enter username and password when recording.

How to Record Password Protected Streaming Media (Audio and Video Streams)