A honeymoon, an Earth ritual, is the traditional trip taken by a newlywed couple to celebrate their marriage, and presumably, consummate it.
The song "Come Fly with Me", a favorite tune of Vic Fontaine's, featured the lyrics, "You just say the words, and we'll beat the birds down to Acapulco Bay; It's perfect, for a flying honeymoon – they say...." (DS9: "His Way")
The women on the Taresianhomeworld infect alien males with a retrovirus that transform them into male Taresians. The newly-transformed males then marry three of the Taresian women. On their honeymoon, the women then kill the male for his genetic material. (VOY: "Favorite Son")
In dialogue that was included in the shooting script for Star Trek Nemesis but not in the final version of that film, Worf was to have explained to Riker and Troi that a traditional Klingon honeymoon starts with "the Kholamar desert march," involving endurance trials in which the couple bonds, and that, if the couple survives that challenge, they proceed to the Fire Caves of Fek'lhr to confront the demons of Gre'thor.