I don’t have a habit of drinking nor eating while gaming. If I get thirsty or hungry I’ll just pause/exit the game, go to the kitchen and drink a glass of water. But if it happens that I haven’t finished my cup of tea before my gaming session, I’ll drink it up while gaming. (I’m not British, but I love tea!)
However, there is one game that I almost can’t play if I don’t drink. It’s SingStar. I have to drink something after every few songs, either something alcoholic or non-alcoholic (but we all know we sing with more heart when we’re drunk ).