Recently I helped a friend edit some episodes of Star Trek: The Next Generation. I've collected them all on this web page here.
Some other things of note: Wil Wheaton (Wesley Crusher) from the show has seen them and written about it in his blog. The videos have also appeared on TV, a on a G4 broadcast called Attack of the Show. (It is mentioned in item number 4 on that clip.) They went as far as getting in costumes and sort of "acting out" the scenes from the particular episode they showed. Cool!
A few other notes on this, and some FAQish sort of stuff...
These were edited by Jan Van den Hemel, who's obviously pretty awesome at this. I helped him make these by writing these sort of "scripts", suggesting how to arrange clips, what lines to dub, and what sort of visual effects to try out. I also usually supply the, uh, external resources. Jan supplies a lot of input to the "scripting" process too. The result I think is a pretty effective fusion of our senses of humor, but of course all the technical editing gravitas is pure Jan.
We will probably keep making these videos, as long as it stays fun. We'll keep doing Star Trek for a while, but will likely also try using samples from other TV shows and movies later.