"Revisited" version with all changes, minus one or two small errors that were fixed for the DVD-9 (number of guns on the rack, for example)
DVD-9:
"Revisited" version with all changes, best video quality, most extras, and all errors fixed ("final" version)
PURIST:
DVD-5 of a version with no added music, no new Death Star reveal, Ben's hut scene restored to theatrical version, and I think the Death Star battle is closer to original version (no big TIE reveal).
I *think* I got most of the differences.