In several scenes of the Mary Martin version of Peter Pan (in particular the scene where Wendy, Michael, and John learn to fly) you can see their cables.
Actually this was filmed on stage so they weren't paying much attention to the visual affects I don't think. It was also 1982, not much advanced technology in that department. You can't really expect that much from a staged musical!
Actually, this was filmed in the 70s, because my mom watched it as a child, but you're right about it being a stage production, so I don't think much attention would've been paid to something like that
Dude, this is a stage production! Of course you can see the cables! This is not a slip up, there just wasn't any way to show them fly with out cables! They were, after all, on stage in front of an audience.
Actually, it was before the 70's and 60's as well. Here are two citings for the actual dates -
"she had starred in a musical version on Broadway in 1954, and this production was subsequently performed on television in 1955, 1956 and 1960"
-http://en.wikipedia.org/wiki/Mary_Martin
"When the play aired on TV, live the first two times, and later on tape, Mary became an American icon."
-http://wi.essortment.com/marymartinpete_reaa.htm