A barbecue was a style of food preparation on Earth, which typically consisted of cooking a large slab of meat over an open fire pit. Those from Texas, in the United States of America, were well known for putting on lavish Texas barbecues. (VOY: "Unity")
In 1996, a man videotaping a barbecue in Los Angeles managed to film a temporally displaced USS Voyager. (VOY: "Future's End")
In 2152, Tucker complained that he caught the three Takret that were aboard Enterprise "throwing a barbecue next to a plasma manifold." He stated that he understood that the crew were explorers and that they were "supposed to keep an open mind about different cultures," but that the three Takret they had aboard with them were driving him crazy. (ENT: "The Catwalk"}
Chef served a home-style barbecue meal on August 24th of that year, with the admonition to "bring your own bib". (ENT: "Singularity")
Later that year, Tucker hallucinated eating steak at a barbecue, while under the influence of a Wisp. (ENT: "The Crossing")
The mother of formerly assimilated Starfleet officer Riley Frazier was known for her famous Texas barbecue. After Frazier was freed from the Borg Collective, she had recurring dreams of her mother's barbecue. Prior to Chakotay's departure from the planet where she lived, he offered to replicate her some Texas barbecue, but noted that it probably wouldn't compare to her mother's. (VOY: "Unity")
In 2373, while imprisoned aboard the Akritirian maximum security detention facility, Tom Paris tried to expel his hunger by fantasizing about barbecued T-bone steaks. (VOY: "The Chute")
Tom Paris also once described the effects of a space suit failing at 500 K as a "Human barbecue". (VOY: "Demon")