I don't know if NBC still uses that slogan. They did back in the days of Cheers and Seinfeld. And they still have a pretty strong Thursday comedy lineup: Community, Parks and Rec, 30 Rock, and The Office (although I hear that's in the Ken Griffey phase of its career.)
Chevy Chase is in Community. He's had a varied career. He was a municipality in Maryland at one point. He played drums in an early version of Steely Dan. Steely Dan were named after a dildo in William S. Burrough's Naked Lunch and were a very idiosyncratic group. Later on Michael McDonald sang backup for them. McDonald went on to join the Doobie Brothers. The Doobies were one of those groups like Fleetwood Mac who reinvented themselves so radically, that their later output sounds totally different from their earlier stuff. This would all be germane if Skunk Baxter was making a guest appearance on Parks and Rec. But, as far as I can tell, he isn't.
Chase became a movie star, appearing in such flicks as Caddyshack (a highpoint of Western Civilization), Fletch, and the Vacation series. But he got his big break on Saturday Night Live. You can make a chain of castmembers from 1975 to the present day. One such chain goes like this: Chase was a castmember with John Belushi who worked with Brian Doyle-Murray, who worked with Mary Gross, who worked with Jon Lovitz, who worked with Chris Farley, who worked with Colin Quinn, who worked with Tina Fey. Gross is really helpful here because she was on the show from '81 to '85 when there was mondo turnover.
Fey, of course is on 30 Rock. So is Alec Baldwin. Baldwin was in the atrocious Pearl Harbor movie directed by Michael Bay. In it he portrayed Gen. Jimmy Doolittle. Doolittle's best known for his daring raid on Tokyo in 1942 where he led long range bombers over the capital of Japan from the USS Hornet. Doolittle was assisted by an admiral named Miles Browning in planning and executing the raid. Aircraft carriers were in their infancy back then and Browning was a pioneer in developing strategy and tactics for them. He also had a daughter who's son got into show business. That boy's name was Chevy Chase.
This is for Devin McC, by the way.