The long-running animated series recently honored CBS' retiring "Late Show" host David Letterman with a special "couch-gag" opening.
The 66-year-old funnyman, who has hosted the "Late Show" since 1993, announced last week that he will be stepping down from his post in 2015.
In the clip (which also pays slight homage to Woody Allen's "Manhattan" with the inclusion of Gershwin's "Rhapsody in Blue"), Homer, Bart, Marge, Lisa and Maggie are seen sitting as guests on Letterman's talk show, although the host seems none too impressed.
"So what are we doing here? Is it the thing where the family runs in and sits down?," Letterman asks the family. "We flew you in and put you up for that? I think we're done here."