In the story outline of TOS: "The Cage", Tahiti was mentioned by Vina in an illusion designed as an attempt to teach Captain Robert April that one of the many illusory environments he could live in, if he agreed to remain captive, was Earth. In the illusion (which the outline describes as "circa 2049 A.D."), Vina suggested to April that they holiday in Tahiti at the weekend, as their friend, Varjos Miller, had four tickets for "the Tahiti jet." It was also said that a festival was to be held by the Federated Park Commission in Tahiti, including outrigger races, fishing and village ceremonies. (The Making of Star Trek, p. 57)
In ultimately unused dialogue from the final draft script of VOY: "Lifesigns", The Doctor suggested to Danara Pel that they could visit "something called the 'Tahiti' program" in the USS Voyager's holodeck. It was a simulation which involved taking "a moonlit stroll on a white sandbeach" and Pel replied that she thought it "sounds lovely."