A Mai Tai was a cocktail from Earth, associated with 20th century tropical island culture. Its ingredients included rum and fruit juices, and it was often served in a cup shaped like a pineapple.
In 2381, a group of USS Cerritos officers claiming to be from Hawaii, including Jack Ransom and Brad Boimler, had Mai Tais while enjoying R and R on the holodeck. (LD: "wej Duj")
An advertisement for a vacation package on Kaphar Prime, viewed by Deanna Troi in 2402, promised Mai Tais. (PIC: "The Last Generation")
In 3190, as the USS Discovery faced the threat of destruction passing through the galactic barrier, some of the bridge crew imagined what they were looking forward to the next time they returned to Earth. Lieutenant Commander Keyla Detmer envisioned enjoying a Mai Tai on a beach in Hawaii. (DIS: "The Galactic Barrier")