Pas-2 has created a few sample remake tracks of Privateer music for the Privateer Remake. He's looking for feedback on them now. So far there are samples of the Intro and Refinery music available for you to critique. The originals can be found here and here to compare.
Matt Tyson has also added a track we were missing from the Privateer Music Section. It's the Mining Base theme recorded on a Yamaha DB50XG Midi.