There have been many directors cuts of movies over the years, far too many to mention. One such movie is Star Trek: The Motion picture when it debuted on DVD, director Robert Wise was given the access and budget to improve the special effects and insert some extra scenes.
At the time of the DVD release of Star Trek V: The Undiscovered Country, director William Shatner, he who plays Kirk, wanted to give his Star Trek the same treatment, and maybe even give it a re-edit, he was refused permission.
Maybe it's because the 5th movie in the Star Trek series is considered a bit of a dud, maybe it's Shatner himself who knows, but Star Trek website TrekWeb.com is starting a petition to get this to happen.
If your interested, and I think all us Star Trek fans have a passing interest in knowing if director Shatner can make this a better movie, then head over to the site for more information.