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Total Recorder professional version does record streams, including multiple streams at the same time. :

Background record (i.e. capture streaming audio) an Internet-broadcast in MP3, WMA and Ogg Vorbis formats. This feature allows you to do the following:
– Capure streaming audio (an Internet broadcast) in their original format without decoding and re-encoding.
– Record without using an external player.
– Extract track information from a stream.
You can also slow down or speed up the playback of an Internet broadcast.