Well, two of the ones you mentioned are “fan preservations”, not fan edits. i.e. they are not an attempt to create a new edit of the film at all, but to exactly re-create a previous official version of the film. Despecialized attempts to be exactly the 1977 version of Star Wars, and Respecialized attempts to be exactly the 1997 version of Star Wars: Episode IV: A New Hope: Special Edition. In that sense, Despecialized is generally considered the best of those you mentioned, simply because it recreates an “edit” everyone already loved to begin with. Revisited is the only true fan edit of the ones you mention, in the sense that a fan decided to make his own edit, exercise some creative input over the process, etc.

I’m not really sure it’s possible to salvage The Phantom Menace. You can only do so much, even with the best of the prequels.