That's why I think a viable option for the next big Star Wars project is a story bridging Revenge of the Sith and A New Hope.
Let's face it, Anakin is incredibly immature, idealistic and selfish in Revenge of the Sith. I think he was still a child when he fought Obi Wan and he didn't really come of age until his time as Darth Vader. His role in the new movie would be hunting down the Jedi, searching for Obi Wan, and becoming the man he is in the original trilogy. Twenty years as Vader will change a person and this movie would show that.
The heroes? Bail Organa and the other leaders of the Rebellion, showing how they began their struggle against the empire. Bonus points for showing the base on Dantooine.
It would also show how the Republic made the complete transition into a dictatorship. Remember, in New Hope, the dissolution of the Senate is so recent that Leia doesn't even know about it when her ship's boarded by Vader.
Other potential plotlines include Grand Moff Tarkin's rise to power, the beginning of Rogue Squadron, and the enslavement of the Wookiees.
There are probably many expanded universe stories about this time period--they would be respected and this project (miniseries, movie, whatever) would try to follow many of their plotlines, but it wouldn't be a 100% faithful adaption.
References to major characters in the original trilogy would be kept to a strict minimum.