The Radio Drama version of the scene was pretty strong stuff with daddy inflicting his own pain onto his as then unrecognised daughter (projecting the sensation of being burned alive at her via the Force, touches of Dune too as per).
Chilling stuff.
Another possible inclusion which I proposed on the ESB:R in jest but I notice Darth Richard posted on the ANH:R thread was showing the desolution of the Imperial Senate.
I proposed it as a joke because it seemed a) surplus to requirements because Tarkin's casual dismissal was actually very sinister and b) it seemed like one of those boring CGI laden political scenes which dragged the PT quite a bit.
I have been giving it some thought though.
Palpatine I think would still try and sell this as a positive thing to the Galaxy.
He would argue that the Senate was too centralised to be effective and spin the closing of the senate as a form of devolution.
He would allow each of the territories a regional council which could present any issues to their local Governor claiming that this would allow them a more focused voice in the Empire.
Naturally Palpatine would be too busy with issues of state to deliver this message in person so he would appear as a giant hologram head filling the whole of the Senate chamber (making his ROTS line of "I am the Senate" pretty much literal) the podium is now replaced with the Imperial Seal.
The building would be turned into security centre for the military to further insure the safety of the capital from the insurgent Alliance of Rebels attempting to undermine peace in the Empire.
Stormtroopers could keep an eye out for troublemakers and would escort the now former Senators back to their ships and to their obscure and ignored provincial Parliaments.
If the scene was scripted storyboarded and made it could be an optional extra to add into future re-edits.
Perhaps Tarkin could observe the scene in his command centre before entering the meeting :
At the very least it could be a fine Fan Film.