Here's my suggestion for a ANH:R HD change. Fair warning, it's not for you purists:
So it's like a common joke/plot hole about the Imperials not firing on the escape pod at the start of the movie, right? Well, what if they did? And what if they fired at a shitload of them as more rebels try to escape and the droids manage to land on Tatooine out of sheer luck of avoiding a hail of turbo laser flack?
How it could be done just using effects like Ady does (I'm using Ady's comparison images as they are the easiest to get hold of to illustrate my point:
Instead of just one pod shooting towards the lower screen, we see multiple ones firing off in all different lower directions.
Either cut the dialogue or nix the scene entirely (Note: if keeping it, just have the dialogue 'there goes another one', show more pods and some turbo laser fire in the viewer, then cut)
At this point show multiple turbo laser fire and flak bursts outside the pod. More pods if there's room, but it may look a little cramped then.
Again, at this point show more turbo laser fire coming from behind camera and more pods trying to make it to the planet surface.
Not strictly needed, but may want to look at this scene in light of the above changes, perhaps nix it entirely or change its place in the movie. Or, just leave it. Everything still works.
Obivously, if Ady went this route, he may decide to do an additional miniature/effects shot that shows an expanded view of the Star Destroyer firing at the pods as they jettison which wouldn't be out of place.
The net affect of this change is:
a) No more weird plot hole. Possibly the most cited plot hole in Star Wars history.
b) It makes the Empire's search and occupation of Tatooine feel more sinister and tense, as you can assume they are tracking down multiple rebel escapees to kill and looking for the Death Star plans, rather than just stumbling onto Jawas at their appointed time. They seem less bumbling/lucky. Also, there's no real reason in the original why they wouldn't be able to track that single 'no life form pod' all the way to the surface far faster than the droids would've been able to clear the area. Now, there is, as they have multiple pods and locations to check.