This was my very first trailer that I did back in film school for that brief time. It was originally put together on a Media 100 system. The music featured in this trailer is actually two snippets and one large piece.
The larger piece is Enigma's Second Chapter from the Cross of Changes album. (I think they used it in the first Matrix) The drum beats in the beginning is called Threnody in X (LP Version) from the X-Files: Fight the Future Soundtrack. The opening violin strings in the beginning is from song in The Prayer Cycle. I know it features Alanis Morisette and a few other singers.
Pardon the quality Vimeo-spoiled friends, but this was from back in the day.