There is currently one 24 hour off licence in the London Borough of Bexley:
Sainsbury's Crayford, Stadium Way, Dartford, Kent, DA1 4HW - 01322 529254 (24 hour alcohol licence for December only)
There is only one 24 hour off licence in Bexley and it only has a 24 hour alcohol licence for the month of December, so for the rest of the year there isn't anywhere you can legally buy alcohol all night in the London Borough of Bexley. If you're after late night booze, you will need to either travel to a 24hr off licence in a different area or use a All Night Alcohol Delivery Service.
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 up to each individual shop to decide whether or not it uses its 24 hour alcohol licence (just because they are licensed to sell alcohol 24 hours. It's also worth noting that large 24 hour supermarkets (Tesco, Sainsbury's and Asda) are not open all night on Saturday, Sunday and bank holidays (due to Sunday trading laws in England and Wales), so are only of any use on weekdays or Friday nights. We've tried to list the phone number for each 24 hour off licence so you can confirm opening times before setting off on your quest for 24 hour booze.