The good thing if you disregard the Prequels you can still see it as Luke's story with Anakin's "story" taking a back seat!
And has been said, i am sure it was never Vader's story from the start,he was just the villian to begin with, you can tell that it was about Luke etc and George changed his mind to make it Vader's story.
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That is exactly how I feel now, and this is how I view the saga, and it is working for me: 4,5,6,3. I watch the OT, which I still love for Lukes story, cause that is what is was always about. Don't be fooled by Lucas, in an interview, and I wish I could find it, but he said he didn't realize til 1988 that it was the story of Anakin, that is 5 years after Jedi.
After I watch the OT, Episode III serves one purpose for me, not about Anakin fall, but just the questions I have been wondering since 1983:
How did Anakin become Vader?
How did The Emperor become the ruler of the Galaxy
What happened to Luke & Leias mom?
The Duel (Vader vs. Kenobi)?
The other Duel (Yoda vs. Emperor)
How were Luke & Leia split up?
When did Kenobi & Yoda go into exile?
All those questions for me are answered in ROTS, and TPM & AOTC are irrelevant to me. I could care less about Jar Jar, about The Podrace, Midiclorians, Jango Fett, Dex's Diner, and bunch of crummy lines that we have to hear from Anakin & Padme throughout AOTC.
Episode III answers the questions that I wanted, nothing more nothing less, it is just backround information, not this whole big picture of this 6 part story of Anakin Skywalker, BORING!!!!!
Before I watched TPM & AOTC out of obligation to the saga, and I believed what BS Lucas was feeding us, but after ROTS, those first two movies, with the exception of a few plot points, in which I could have read them in some EU book in 5 minutes about Padme & Anakin love affair, or Anakins mom dying, or how Anakin was a cute little kid.
So I view the saga this way, and it is working for me real well:
Star Wars
The Empire Strikes Back
Return of the Jedi
(For Backround Information for the OT) Revenge of the Sith
You notice in this order, I don't have to hear Jar Jar say one word! "Weesa Free!!!!!!!!!!!"