The movie's storyline and setting may be divisive, but this particular re-edit of it is terrific!
Alien 3: Third Cut is a satisfying mixture of the 'Theatrical' and 'The Assembly Cut' with some added spit and polish, making it the best version I've come across.
I've always preferred the notion of the alien being born from a rottweiler rather than an ox, as the 'dog-burster' scenes are much more compelling I reckon.
But it's the likes of 15MaF's re-grading and enhancements along the way which really make this a comprehensive 'special edition' for me, with an improved look to the alien SFX shots overalL - especially during the iconic moment in the infirmary when it goes right up to Ripley's face - as there's now added drool as it moves towards Ripley, which ties in much better when we then cut to the drooling alien head prop close-up. The re-grading, enhancements, and re-framing done to this somewhat dodgy effects shot all combine to make it far more effective now.
And extra kudos for the way the various EEV shots have been melded together nicely, with the creepy shot of Newt incorporated too. Some neat subtle enhancements to tie things seamlessly together there.
Ripley's fall from the finale of 'The Assembly Cut' is enhanced a bit too, so that we see her disintegrate a little before she disappears.
All in all, this is the definitive version of the movie for me now....even though I choose to look on it as a 'cryo-sleep nightmare' storyline that Ripley is having.