The only issue I still have with ANH:R is when the Falcon comes out of lightspeed in the Alderaan System, and is passed up by a TIE Fighter. The Falcon follows VERY CLOSE to the TIE for a long time, while Han says things like:

"I think I can get him before he gets there. He's almost in range."

Yet we see the Falcon easily fire upon TIE's in ROTJ at around the same distance, very accurately and easily!

If I were ever to do a follow-up re-edit on ANH:R myself, I'd put a lot more distance between the Falcon and the TIE in the Alderaan asteroid scene.

Note: I'm surprised this wasn't brought up before....