Natalia and her husband keep a cozy apartment in a great location in central London. They've done an excellent job stocking it with pretty much anything you might need. Natalia is a very diligent and careful host who does a great job of providing both housekeeping necessities and concierge services. She's very responsive to questions and genuinely cares about your experiences.
I did nine days in London and appreciated both the comfort of the space and the access it provided (to supermarkets, restaurants and sightseeing destinations equally). I got around town very easily and had absolutely no regrets about my choice. Given that this was my first AirBnB experience, all in it was an exceptional advertisement for AirBnB.
Couple of things to note - the building is slightly older and you can hear the street from the apartment but I suspect that's just how it goes in London. It really never bothered us much.