Almost any Russian from the good old days, I'd imagine.
Name Some Famous Drunk Chess Players?

He was quiet, but in good spirits. We spoke French and English. I'm not sure if he was a Canadian citizen yet when we played. Both of us spoke French as a second or third language.

fischer really should have boozed more.
Rum-and-colas would have gotten him to 2800

Alekhine was a notorious drunk. I've heard rumors that Tal liked to drink a bit. The Russians had tons of alcoholic players.

Max Euwe. Aljechin has the name but Max did it secretly.
Max Euwe was interviewed by Pal Benko. Here is one exchange, regarding the 1935 world championship match:
Benko: I have heard many rumors that Alekhine was drinking heavily during the match and was behaving strangely sometimes. Can you comment?
Euwe: I don’t think he was drinking more then than he usually did. Of course he could drink as much as he wanted: at his hotel it was all free. The owner of the Carlton Hotel, where he stayed, was a member of the Euwe Committee, but it was a natural courtesy to the illustrious guest that he should not be asked to pay for his drinks. I think it helps to drink a little, but not in the long run. I regretted not having drunk at all during the second match with Alekhine.
http://www.chesshistory.com/winter/extra/alekhinealcohol.html
Just Like Gambling and Firearms. Chess an alcohol don't mix!