I just discovered an 80-minute documentary that came out last October entitled "Mr. Blue Sky: The Story of Jeff Lynne and ELO." If you're a fan of ELO and/or Jeff Lynne, it's an entertaining film. If you're really into music production, though, I think you'll probably be disappointed. Lynne's style as a producer/arranger is instantly recognizable and completely his own, but this film doesn't offer any insights into his methodology, equipment choices, approach to recording, etc. And if you're a big ELO fan, you might be frustrated that the film spends so little time on that era; you do get the entire sweep of Lynne's career, but a lot of time is spent on the two Beatles tracks he produced, his work with the Traveling Wilburys, and his most recent solo album.
Still, it's worth watching for some great footage of him just messing around on guitar at his home, some behind-the-scenes footage, and interviews with nearly all of the artists he's produced.
I don't think it's on DVD yet, but I found it for purchase on iTunes for $12.95.