The Pembury Tavern that I mentioned further up has excellent pizza. Ace Pizza are resident there and have their own proper kitchen with a real pizza oven. If Claudia's reading, The Cat and Mutton at Broadway Market, which we visited at the back end of last year, is also a Five Points Brewing Co. pub, which I didn't realise until looking at the website earlier.
Further to my point about burgers, I was also going to mention the Three Compasses in nearby Dalston. Burger specialists, Filthy Buns, were resident there. On looking this morning, they're now at The Star of Kings in York Way, by Kings Cross. Somewhat handier for the central London visitor and definitely recommended.
Fish and chips from a chippy can be a bit crap sometimes too. I won't mention the name of my local in case they get a hit looking on Google and see me talking about them, but I've sworn off their fish after a couple of disappointing experiences. Again, their burgers are a safe bet. Cooked on a Turkish-style mangal grill next to their shish kebabs, which gives even some quite cheap patties a good flavour, and topped off with the same choice of veg and sauce as the doner kebabs. I was watching some coverage of some rather unfortunate protesting outside an asylum seeker hotel (2025's big thing it seems) and the first thought that came to mind was that they were right next to Kennedy's of Goswell Road, one of the best chippies in London. Well worth the short trip out from central London as a destination, or if you're visiting The Barbican.
jphbucks, don't take it personally mate. I stand with you and your right to enjoy fish and chips with a pint in any pub of your choosing, even if it is a 'spoons :)
What I really want to see in someone's trip report from the UK is a tale of getting absolutely hammered in the pub and getting a midnight kebab on the way back to your lodgings. Not sure that's going to happen on the RSE forum though. Don't puke in the taxi. That gets expensive. (Don't) ask me how I know. Proper authenticity right there.