The history of rum cocktails begins in the early days of rum consumption, when it was frequently combined with other ingredients to make tasty and reviving beverages. These straightforward mixtures developeslots luckyd over time into the beloved classic rum cocktails that we are all familiar with, like the Mai Tai, Daiquiri, and Mojito. The Classic Appeal of Rum Drinks. Cocktail aficionados all over the world continue to enjoy these timeless cocktails because of their durability. The continuous popularity of rum as a spirit and its capacity to stimulate innovation in the mixology industry are attested to by its history.