https://www.youtube.com/watch?v=JsWmkQWGmKQ

Try this. There's no playlist but all of the episodes (including ep 23) have been uploaded in 720p with seriously crisp quality. I found this a few months ago, but this is just a heads up for people who are looking to start watching the series (or would like to rewatch the series) in pretty damn good quality. I actually have no idea if this is from the JP Blu-Ray or from the rare remastered boxset or whatever, but the standard DVD box set looks nothing like it.

Unfortunately, this is only the dubbed version. There's no sub upload but if you'd really like to see Outlaw Star subbed then there's a playlist on Mantis' channel -
Outlaw Star HD - Episode 01, Part 1 of 3 (JP) - albeit segmented into parts and, well, not as good looking. :p