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The Flaming Homer, also known as the Flaming Moe, is a cocktail drink accidentally invented by Homer Simpson.
Patty and Selma were visiting and showing the Simpsons slides of their holiday. Homer became bored with the slideshow and decided he needed a beer. Selma said that she had taken the last beer and Homer was forced to make something out of leftover alcoholic beverages.
Homer mixed several types of liquor together, and then, while not paying attention, he accidentally mixed in some Krusty's Non-Narkotik Kough Syrup. Homer had a taste and deemed the concoction to be acceptable, but not spectacular, and returned to the slideshow. After he sat down, Selma unknowingly dropped her cigarette ashes in Homer's drink, setting it on fire. Homer blew out the fire and discovered that the drink was much tastier.
Homer explained the recipe to Moe one evening, when he came in to Moe's Tavern for a drink and the bar was out of beer. Moe then quickly claimed the drink as his own, renaming it the "Flaming Moe", thus stealing the idea from Homer. The drink became extremely popular with locals and visitors alike, attracting a ton of new business based on nothing but the drink's addictive taste. Moe renamed his tavern for the drink, and his bar become "the place to be in Springfield" to the point where he was able to get Aerosmith to come in and play at the bar.
The drink also drew the interest of Tipsy McStagger's, which hired Professor Frink to determine its chemical makeup so they could duplicate the drink. Frink was able to isolate all of the ingredients except for the cough syrup. His analysis machine claimed that the last ingredient was "love," which prompted Frink to exclaim, "Who's been screwing with this thing?" For the moment, the cough syrup remained the secret ingredient. Tipsy McStagger's, meanwhile, still unable to determine all of the drink's ingredients, was moving towards offering Moe a large sum of money for the complete recipe.
Homer, meanwhile, had gotten incredibly angry at Moe, and jealous of how everybody adored the drink that he, not Moe, had invented, yet Moe was getting all the credit for it. Homer showed up at the bar, laughing like a maniac at Moe and all of the customers, how they were "choking down your Flaming Moes, all the time wondering 'How does he do it?'" Homer then revealed the secret ingredient to be Krusty-Brand cough syrup, in full hearing of the public. Among the results was the dissolution of Moe's potential and very lucrative deal with Tipsy McStagger's. Everyone else in town quickly started serving Flaming Moes (under a wide assortment of varying names), and business at Moe's Tavern went back down to normal.
Later, with no hard feelings, Moe served Homer a Flaming Homer on the house.