Granny Fanny is a porno magazine.
Sideshow Bob slipped away from a prison detail, stole an atomic bomb, and hid out at the nearby Air Force base. The Air Force looked for him at the base, but only found the porno magazines Granny Fanny, Cheek Week and American Breast Enthusiast. When Krusty came over to the base, he liked that they had the magazines.
 Behind the Laughter
- The magazine's title may be a pun on Little Annie Fanny, a pornographic comic strip which ran sporadically in Playboy magazine from the 1960s through the 1980s.