As in the show itself, there is a rich trove of parodies to be found in The Simpsons' couch gags — especially of other TV shows and movies.
It would be exhaustive to list them all: The Flintstones, Dragnet, The Brady Bunch, Breaking Bad, The Powers of Ten, The Honeymooners, The Dick Van Dyke Show, Cheers, Avatar, Succession, The Hobbit, and Cats make up only a small portion of the many parodies The Simpsons has pulled off in its intro sequence. Some do stand out, however: The Game of Thrones couch gag from "Exit Through the Kwik-E-Mart" is a fan-favorite, complete with Thrones' iconic music, Springfield structures rising from the ground via geared mechanisms, and three-eyed crows flying over the nuclear plant. There have also been a number of excellent Disney parodies, most notably the "Musicville: A Silly Simpsony Cartoon" gag, which precedes "The Kid is All Right." It takes its inspiration from Disney's 1935 Silly Symphony short, "Music Land," and sees the characters reimagined as musical instruments, holding an epic battle between classical and jazz.