Should've thought of this sooner, lots of good stuff.
Cookie Monster and "Fffff" "oooood:"
http://www.youtube.com/watch?v=H8IwvxYWCDM
Cookie Monster and Kermit - guessing game:
http://www.youtube.com/watch?v=vamMHRage4M
Cookie Monster the train engineer:
http://www.youtube.com/watch?v=4_KNaXOcH0U
Cookie Monster steals Ernie's pillow:
http://www.youtube.com/watch?v=dbPVHR31YJA
From the Muppet Show, I guess, it seems to be well-known:
http://www.youtube.com/watch?v=PlrF7vj4u4U
Of course, the classic "C is for Cookie" song:
http://www.youtube.com/watch?v=dhUFxaauNTE
Oh, sweet, they've got this one, too: Ladysmith Black Mambazo and everyone from Sesame Street singing "Sing" in Central Park:
http://www.youtube.com/watch?v=ZNuRgsKuCsg
Sesame Street characters on Jeopardy, the last few seconds are particularly funny:
http://www.youtube.com/watch?v=8vHhIAPgjrE
Vincent Price singing "You got a friend:"
http://www.youtube.com/watch?v=lLsk36UJGa0
This German BMW ad is what actually got me started looking
http://www.youtube.com/watch?v=7LcNu9NHVyo
And, finally, the classic Paul Williams song:
http://www.youtube.com/watch?v=thEiXbovv98
No, wait, that led to some more links - Debbie Harry:
http://www.youtube.com/watch?v=mNMLAhNtloM
http://www.youtube.com/watch?v=UArJpA9wm-w
http://www.youtube.com/watch?v=pYmAuluF4HI
http://www.youtube.com/watch?v=OI0qcc-8cSY