When it comes to St. Patrick's Day, there are a lot of traditional Irish drinks that are thrown to the wayside in favor of cheap green beers. 5 days ago Mix That Drink's exciting collection of St. Patrick's Day cocktails, featuring green drinks and Ireland-themed cocktails!. Ireland may be famous for Irish whiskey and Guinness. That's not all the locals drink, though. You'll find plenty of popular adult beverages during your trip to.