I know you guys probably get lots of suggestions, but upon re-viewing ANH:R I had an idea about one change you could make for the HD version that would resolve something which bugs me every time I watch it.
During the climax of the Battle of Yavin, when the Millenium Falcon comes roaring towards the camera from out of the sun, have it be blazing away with both gun turrets the whole time. This way, Vader's wingman can be trying to dodge the laser fire that just killed his buddy, instead of crashing into Vader in a blind panic.
It makes Han's return a lot more dramatic (right now it seems like he just fires a single well-aimed shot and dumb luck takes care of the rest) and eliminates a logical inconsistency, since Vader's wingmen would most likely be elite pilots and not prone to such stupid mistakes.
Also it would look awesome.