The Ritz in London is a very nice hotel I have stayed there several times, it is a Virtuoso property as I have been there traveling with a group and my Virtuoso agent was with us, the great thing about the Ritz is the private Ritz club downstairs a mini casino bar, with that being said I do not like being told how to dress to eat breakfast or have a drink in the bar. I once had a fight with the hotel manager in the lobby being told that I could not have a drink in the bar as I was wearing jeans, I told him that this was unacceptable as my room was not ready and had just been on a 9 hour flight from America, although after that the stay was wonderful and the service top notch.
The other hotel I would recommend in London is the Lanesborough, I have had great stays there as well, I believe that the service at the Ritz is just that little bit better.
As for Paris the Hotel de Crillon and the George V would be my top picks.