Many types of drinks pair well with grazing tables. For example, a drink like iced tea or iced coffee can be enjoyed while people are taking their time to look over the menu and decide what to order.
Another great option is a mixed drink like a margarita or cosmopolitan. These cocktails are light and easy to drink, so they are perfect for sipping while people decide what to eat.
Finally, some people enjoy beer or wine with their food. Whether eating a burger or sampling some tapas, having a drink with their meal helps to enhance the experience.