It looks like Archive.org has an extended cut of Super Mario Bros. The Movie.
I watched it, it was interesting to see the additions. Some things that were spliced in that I remember from the VHS version, which I guess are not in the DVD cuts. I bought the DVD years ago, but I don't think I ever got around to watching it. Had I watched the DVD I probably would have thought I had seen some Mandela Version in the 90s. There were a few extended things like the car chase scene that made me think "why would you cut that out? Don't cut action!"
https://archive.org/details/super-mario-bros-1993-the-morton-jankel-cut-extended-vhs/Super+Mario+Bros+1993+The+Morton+Jankel+Cut+Extended+VHS.mp4Restoration commentary:
https://www.youtube.com/watch?v=d-4yy9oBKN4"The film as released runs 104 minutes. This extended version runs a full 125 minutes, with 20 minutes of additional scenes. The editing has also been reworked throughout, and restored by filmmaker Garrett Gilchrist, well known for his restoration of The Thief and the Cobbler and many Muppet projects.
This version uses VHS sources for most of the film, for consistency. Otherwise identical edits sourced from DVD and Blu-Ray also exist, as well as a general restored workprint. We are exploring our options and further work will be done on this film later. However, the Archive Team has decided to release this version of the edit early, for the film's anniversary, and see what the fans think of it.
Previously-unseen deleted scenes include the Mario Bros running afoul of the (probably Mafia-connected) Scapelli plumbing company, Koopa murdering a technician by de-evolving him into slime, and Iggy and Spike rapping about the overthrow of King Koopa at the Boom Boom Bar. (Along with some dancing women who were censored for the theatrical cut.) There's more of Lena, Daniella and the Brooklyn Girls. Most scenes are extended in this version, with a lot more of the cast including Dennis Hopper as Koopa.
This edit attempts to do justice to a longer, earlier VHS workprint, but was not supervised by the directors directly. A future release may incorporate their notes."