When pairing beverages to accompany your cheese platter appetizer, I recommend choosing wines and drinks that suit a variety of cheeses and cured meats. These can include red wines like Merlot or Pinot Noir, or white wines like Sauvignon Blanc, Chardonnay, or Pinot Grigio. Or, if choosing other beverages, you can't go wrong with a classic seltzer water or festive cocktail, like a Cranberry Gin Cocktail, a Christmas Moscow Mule, or an Apple Cider Martini.