Plus at Borough Market you can drink in a 300-year-old pub where Charles Dickens used to hoist a few. How cool is that ?
http://www.gkpubs.co.uk/pubs-in-lond...george-inn-pub
I'd also recommend the Market Porter.
www.markettaverns.co.uk/the_market_porter.html
And generally the restaurants are MUCH better than around Covent Garden.