Okay, this (archived copy on archive.org) is just frightening.
These are a bunch of people who got together and decided to film “the rest of” the original series of Star Trek… using the original characters (but with new actors). They have made the first episode available for download, and I just got done watching it. The costumes and sets are incredibly accurate. The acting is a bit over-the-top, but I’m willing to forgive them that since they did such a good job of remaining faithful to the show. They have the full blessing of Roddenberry’s estate and the help of his son for the second episode.
If you want to download the episode, I seriously suggest using the BitTorrent link. This download has been so popular that regular mirrors have been absolutely swamped. (edited 27 November 2015: I figured out that this project apparently lives here now: http://www.startreknewvoyages.de/en/index.php.)