There are currently four 24 hour off licences in the Royal Borough of Kensington and Chelsea (RBKC):
Texaco Petrol Station, Chelsea Cloisters Garage, Sloane Avenue (corner of Makins Street), Brompton, SW3 3DL - 020 7584 5469
A P Food Express, 48 Harrington Road, South Kensington, SW7 3ND - 020 7052 9258
Tesco, 100A West Cromwell Road, Earls Court, W14 8PB - 020 7853 7100
Sainsbury's, 158A Cromwell Road, Knightsbridge, SW7 4EJ - 020 7373 8313 (No longer open 24 hours!)
Please Note: Just because a shop is listed as having a 24 hour alcohol licence doesn't necessarily mean that the shop is open 24 hours a day, 7 days a week. It's also worth noting that large 24 hour supermarkets (Asda, Sainsbury's and Tesco) are not open all night on Saturday, Sunday and bank holidays (due to Sunday trading laws in England and Wales).