While visiting the Museum of Air & Space at the Smithsonian this weekend, one of my DDs saw this playing on a monitor. She looked all over for me, to make sure I didn't miss it.
http://www.stumbleupon.com/su/1MqW28/:1MY8+k_oS:1SSuLiOR3/www.nasm.si.edu/exhibitions/gal111/universe/etu/html/digital_age/architecture/arch_ham.html/
Choreography by Sarah Kawahara and of course, it's Eric Idle singing "The Galaxy Song."
I wonder if it predates "What Would Brian Boitano Do?" There's a 2002 report on the exhibit that mentions the video, but I don't remember when WWBBD was on the TV show.