I think what Adywan has done is pretty fine as it is. If I COULD make any changes, they would be as follows:
at the least, it seems that there are some music ques that are a little odd sounding,
(1) the sad music when Obi's robes fall down after Vader strikes him
- while I can go either way with the DOTF music playing during the Vader/Obi duel, it seems that something needs to be done so the music doesn't sound like it's crashing into each other from the dramatic music when Vader makes his blow, the sad music when Obi's robes fall down and then the Luke's shock music begins. If you took out the sad music in the middle (but left the sound effects), it would create a buffer between the two dramatic pieces as well as give a pause right before the Luke's shock music que kicks in.
(2) the EMPIRE theme during the TIE reveal in the Last Battle
- I love the new TIE reveal (which balances the X-Wing pan reveal earlier), but the EMPIRE theme is more designed for the larger ships, being that it is similar to Soviet parade or march music. If the music could be replaced with something faster paced and more ANH sounding, it would help the whole sequence flow better.
If I was skilled at photoshop and after effects, I would:
(3) replace the planet below the Death Star with the matte shots of Endor to essentially give the impression that Endor was the Empire's "Area 51" so to speak. I love the addition of the planet, but the planet imagery itself is a little "Babylon 5ish".
(4) replace the Alderaan explosion with the original sans explosion ring, or at least something as close as possible.
(5) when the MF escapes from Tatooine, I would either re-insert the spinning star field or have the stars streak as the MF sped away. While the spinning star field may not make much logical sense, it served as a visual que to help deliver the scene emotionally.
Other than that, I think that Ady's edit is about as good as ANH could ever get.
Granted, the idea of the sphere on Tarkin's desk projecting a hologram I think is a good idea (again, to give it purpose) and would make sense that the officer sent to investigate would contact Tarkin from Dantooine. In regards to the Jabba scene, I was never keen on it remaining in the movie as Greedo essentially states Han's situatuion quite nicely. While it may be an interesting scene (like the Anchorhead scenes), it doesn't quite fit in with the way the editing of ANH as it currently exists. Doesn't mean one can't put it in though...
Oh yeah, something it seems Ady and others may have missed:
in the hanger sequence at the end, there is a Y-wing in the foreground in the expansive hanger shot. You can clearly see that the engine pod and Y-wing head are completely seperate pieces and are not connected - the body doesn't exist!
http://www.youtube.com/watch?v=qnphZJKGIoI&feature=related
(you can see it at 5:19)