A fan edit, to me anyway, is a version of a film which has been re-edited using different decisions in the selection and combination of shots to make an alternative presentation of the story.

I wouldn't call Jambe Davdar's projects "fan edits", a more accurate description would be fan-made documentaries.

Other fan projects that get appreciation here are "preservations" - a recording from an obsolete format, "custom DVDs" - fan-made discs with technical improvements over the official release, and "restorations" - combining various sources in an attempt to recreate a lost version of a film. You can find details of these types of project in this forum.