There is no Director's Cut of Alien 3, Fincher will not revisit the piece as he had such a hard time making and living with the fallout of that film.

The Extended Cut is a re-assembly of most of the original material.

There have been a few fan edits (putting back the dog burster and queen chestburster).

Personally I would prefer to see a version with much of the story of the extended version but with most of the sillier dialogue cut and the film rescored if possible.

Some of the score is great but a lot of it blams in, in a bad way.

I'd love to hear some of Jerry Goldsmith's unused music for the first film replace some of the soundtrack.

The Extended Cut proved there was a much more watchable film hiding in the vaults, a tighter edit and bit of reworking (maybe even some new effects to replace the awful CGI) could turn it into a really good film.

There was certainly oddles of atmosphere and some good performances.