The Origin Museum has kindly sent us a copy of a DVD containing many of the cinematics from Privateer 2 : The Darkening, and we are happy to be able to make them available to you! The original source for the DVD is a VHS tape which was donated to the museum so while the quality isn't DVD quality, it is still higher quality than the video used in the game. Sadly there were a few scenes missing from the tape, most notably the intro and the first Joe the Bartender scene but the rest is well worth a look. You can find the videos in the Privateer 2 part of the Holovids Cinematics section.
Update: a large zip file with all 24 movies is also available here. (730 MB)