IMHO the most reliable
RTMP Flash stream recorders are
Replay Media Catcher and
Jaksta. I don't recommend
FLV Recorder and
Bit Recorder due to lack of necessary updates and support.
Orbit Downloader is free and its a big advantage, but it is not a good RTMP downloader.
Please note that software like
Replay Media Catcher can download 75% of the stream in the demo mode, so you need to buy it in order to download 100% of the video. The same it with
Jaksta.
NetXFer can download 100% of the stream in the trial mode. It supports RTMP streams as well.