"Homer the Moe" is the third episode of Season 13. R.E.M. guest starred in this episode as themselves (originally going to be an episode of season twelfth, but was pushed to the thirteenth season due to the events of 9/11 back in 2001).
This episode is one of few in which the title sequence does not include the iconic "the Simpson's" harmonization nor Homer's "D'oh!" or scream as Lisa runs over his feet and he runs inside. (It does on the Disney+ Version)
When Moe visits his old bartending school to rediscover his passion for the business, Homer is charged with keeping tabs on Springfield's premiere watering hole. But when Moe decides to make his tavern over into something more hip and modern, a disgruntled Homer opens his own bar in the Simpson family garage.
When Homer bores the patrons of Moe's Tavern with an anecdote about Bart pointlessly digging a hole, Moe decides the monotony has become too much to bear. He decides to visit his bartending school, Swigmore University, for inspiration and leaves Homer in charge of the bar. Back at school, Moe meets one of his old professors, who recommend that he reinvent his "crap-hole". Formico, the self-proclaimed "Dean of Design", helps Moe transform the bar into "M", an exclusive and Duff-less nightclub.
Feeling like outcasts, Homer, Lenny, Carl and Barney set up a bar in Homer's garage, with Bart and Lisa working behind the bar. The garage bar quickly becomes popular with working-class Duff drinkers. Moe soon tires of his nightclub's swanky, snooty new patrons (at one point they get angry when Moe changes the TV channel to football) and goes to Homer's garage, where he finds R.E.M. playing for the crowd. Homer claims that the bar is actually a "hunting club", thus making it legal to serve refreshing (alcoholic) beverages in a private residence, but then Moe points out that they must actually hunt something to qualify. To prove to Moe that the "hunting club" is legit, Homer declares that they will hunt a turkey for Thanksgiving, which dismays Lisa.
When Homer goes hunting the next day, Lisa and Moe scare off the turkeys with a whistle that sounds like a cougar. Homer reacts by firing at the source of the sound, shooting Moe in the leg. Homer makes up with Moe and they meet up with the rest of the Simpsons, along with R.E.M., at the restored Moe's Tavern for a Thanksgiving meal featuring a tofu-based "turkey" (provided by the environmentalist R.E.M.).