Here's a sampling of their show-enders...
Now, does anyone also remember the movie "Trading Places" starring Dan Akyroyd and Eddie Murphy? The antagonists in the movie was a couple of extremely wealthy old men, a conniving brother team: Mortimer and Randolph Duke. The plot was extremely hilarious to us at the time, and the presence of these two know-it-all's reminiscent of the ornery muppet duo.
Well, after all these years, I still find these sketches so amusing. Actually they sort of caricature the actual conversations we secretly form in our minds. Some of us are too polite to say them out loud. But as our legendary undercover cops would quip:

"You said it!"... "Yeah, but you were thinking it!"
More Statler and Waldorf Clips:
Here they are doing movie cameos!!!
Here they are in a movie with Michael Caine!