Here you will find a good number of games played either by computers and human in International 960Chess events. You can sort by FEN or Start position number.
http://www.chess-960.org/php/show_entries.php?defaultordering=date
'Useful'. Recommended 
960Chess Online databases
Sort:
Some games played by A. Kosteniuk;
http://www.playchess960.com/chess960player/pgn.html
Useful. Limited number of games available. Recommended
Some games analysed by Schredder chess. Mainly from the WCC 2005.
http://medlem.spray.se/schackservice/openingexperience_chess960.htm
Just 15 games available. The analysis provided by Schredder engine is quite old.
Recommended
Once again, from our colleague Mark, a quite complete table with games played by GM and engines tournaments at Mainz.
http://chessforallages.blogspot.com/2008/11/chess960-chess-classic-mainz.html
Just missing 2005 and 2009 seasons. 2009 can be found at the event official site. I can provide 2005 games to anyone interested.
Quite useful. Recommended
Games Database and game explorer with games played by online amateurs:
http://es.wildchess.org/wild.php?variant=wild/fr
Games are filed by Opening Array and exposed with a basic Opening Explorer.
Recommended
Probably the most complete project of game explorer created up to date. Unfortunately, most of the info is only available for site premium members but basically it is pretty similar to the DB we want to create here.
http://www.schemingmind.com/gameexplorer.aspx?chess960=1
The most complete resource and chess960 games explorer currently available.
Recommended
The largest FRC games data base (+66500). Unfortunately, we are talking about engine matches only. 
http://www.computerchess.org.uk/ccrl/404FRC/games.html
It is useful since the pgn files included the comments of the games analysis.
Recommended.
Believe it or not, probably this one is already the largest source of FRC games played by amateurs currently available online:
http://www.chess.com/home/game_archive.html?sortby=date&show=chess960
Do any of you know where it is? 
Recommended
(I am looking forward to chess.com providing some kind of game explorer or at least a filter to sort by Opening Array)
It is not our goal to create a complete database that would ruin the aim of the 960Chess FRC. Besides, the size to comply with that mission (at least in terms equivalents to standard chess) would be simply beyond our hand.
However, I believe it is interesting to have access to games played by expert players so you can get a rough idea about how to play in a given starting position.
I will keep posting here, any websites with FRC games and I invite you all to add any other links you know or learn about.