We flew from LAX straight to London, watching movies all night. From there, in our sleep-deprived state we went straight to sightseeing.
Traditional English fish and chips.
For running on no-sleep and only with limited time, I think we did pretty well at taking in all the key sights of London. Next time I would like to tour Buckingham Palace. We spent the night at a Holiday Inn, enjoyed a typical British breakfast of tiny things--pancakes, little honey pots, herbal tea with a little milk and sugar and we discovered a British breakfast favorite, Wheetabix.