The latest season of The Simpsons is in full swing, and among the best jokes in the show’s newest episodes is a parody of a legendary standup comedian who was once one of its biggest sitcom rivals.

Season 37 of the long-running animated sitcom came to an end Sunday night with a two-part episode, the second marking the show’s 800th installment. Titled “Homer? A Cracker Bro?,” the final episode ...