There are many different synonyms for the phrase "alcoholic drink dispenser." Some common options include a bar server, beverage dispenser, bar truck, beverage cart, or cocktail dispenser. Depending on the context, other possible synonyms might include a wine cooler, beer keg dispenser, or portable bar. Some people might also refer to a drink dispenser as a punch bowl or cocktail shaker, depending on the style and functionality of the device. Ultimately, the specific term used will depend on the type of dispenser being used, as well as the setting and context in which it is being used.