I’d do a TV show edit of the OT, with occasional flashbacks to the prequels (by which I mean all of them). This is roughly what I have in mind:

Start with the deleted scenes of Luke witnessing the battle and heading for Tosche Station. We’d follow his point of view, until he meets the droids.
The battle at Tantive IV and everything that follows (including the capture by Jawas) would occur as a flashback when CP30 tells Luke about all they’ve been through. We still don’t see what’s happening on board the Death Star.
When Luke meets Ben, flashbacks of prequel events would pop up. As Ben says “He betrayed and murdered your father”, we’d see the final moments of the duel at Mustafar, but it would not be revealed who is it that Anakin is fighting, so we’d assume his mutilation was caused by Vader (whom we still haven’t met). Perhaps Obi-Wan can be rotorscoped into a dark silouette.
Some flashbacks to Order 66 could take place as Ben feels the Destruction of Alderaan (which we haven’t seen). When our heroes comes across the destroyed planet, it’d come across as a surprise to the audience.
As the Falcon is captured by the Death Star, we’d cut to Tarkin being informed about it. This would be the first time we see of him and Vader. Much like the shooting script, this and his order to execute Leia would occur as one continuous scene. Potentially Vader going off to meet Obi-Wan could occur here as well.
Since all previous scenes of Leia have been cut, we’d meet her in the flesh during her rescue.
The duel could include some prequel flashbacks that don’t compromise Vader’s identity. Since at this point we know Luke’s father was Hayden, then it follows that Vader should be Jake Lloyd (painful, I know). Perhaps some duel footage from the prequels can be repurposed to have Obi-Wan fighting someone other than Hayden.
As the Falcon departs and Leia comforts Luke, perhaps we could cut to a flashback of Alderaan’s destruction. It’s the only place I can think of for this scene in the context of ANH.
The Battle of Yavin would probably occur without cutting away to the Death Star.
The Throne Room scene might be deleted since it feels much like movie ending and this is a TV series edit. Potentially a flashback to the prequels could bridge the gap between ANH and Empire.
The first Empire scene could be Vader’s contact with the Emperor, after which we’d cut to the Imperial Fleet searching locating the Hoth system.
Cut to the Hoth scenes, albeit told only from the Rebel POV, mostly Luke’s.
Luke would arrive at Dagobah shortly after leaving Hoth. We’d follow his storyline, though Yoda might have a few flashbacks here and there. This storyline would interrupted as he leaves for Bespin.
After that we’d cut to the Han/Leia storyline, presumably beginning when they leave Hoth and concluding at the Carbon Freeze. After this, we’d resume Luke’s storyline with the Duel playing uninterrupted.
The Return portion of the series would begin as with the film, with Vader arriving at DSII, but the deleted scene of Luke building his saber could be incorporated as a segue to droid storyline, which we’d follow. Perhaps before that, Luke can have a flashback of Dagobah (meaning he returned right after Empire). At this point we can reveal Obi-Wan as the dark silouette who mutilated Anakin (a flashback within a flasback).
After Han is rescued, all of our heroes would return to the Fleet together.
We’d follow then the Rebel storyline for quite a while. As Luke leaves to meet Vader, we would exclusively focus on the ground battle at Endor. This would continue up and until the battle turns ill for the Rebels.
At this point we can cut to Luke confronting the Emperor as one continuous sequence. We’d find out the Rebels succeded by having the deleted Jerjerrod scene telling us so.
We’d cut back to the ground and space battle right after the Emperor is killed. Since we’ve still haven’t seen Vader’s death and Luke evacuating there’d be some suspense regarding his fate when DSII blows up.
The celebration could be intercut with flashbacks of the Republic in its glory, hinting such days could return after having won this very important battle (No SE celebrations that imply everything was immediatly fixed after the Emperor’s death).
End the saga with Vader’s funeral (I believe Bingowings suggested this one).