Day in the Life of an Idiot

If you want to check out more vids, thefourthvine has recommendations in assorted fandoms here (just scroll past the anime ones if that's not your thing).

As someone else said, Killa's stuff is great, though she's taken it offline, so it's hard to see unless you know someone with saved copies-- I'm not sure if she'll email a download link if you ask or not. luminosity is also quite good.

Fanfilm is, I think, sort of a different genre-- films made by fans, usually with original content (e.g. they get actors and a script and whatnot), rather than vids where clips from the show(s) typically make up the entire vid (though some, like that kirk/spock one, incorporate other content)