I recently bought a second-hand copy of HH Lamb's
The English Climate, published in 1964. This was the second, heavily revised, edition of CEP Brook's book published in 1954. Appendix 2 is a "Calendar of Historic Weather Events since 1950". I realised that with its help I could probably compile a short list of the coldest days in the London area since reliable thermometers became available in the early 18th century. By "coldest day", I mean having the lowest
maximum temperature. So here they are in chronological order:
11 January (New Style), 1740. "Afternoon temperatures in Holland -20C, in London about -9C. E gale." If I correctly remember what Gordon Manley wrote about this day, there were no outside thermometers in the London area at the time. They were still too expensive and fragile to be risked outside and were only hung indoors at this time. The London temperature was estimated based on reading in Holland, where there were some outside thermometers. To me, given the strength of the wind that -9C looks as if it's a fairly conservative estimate.
20 Jamuary, 1838. "Lowest [minimum] temperatures of 19th century in London: -16C reported at Greenwich about sunrise, -20C at Blackheath, -26C at Beckenham. Temperature in Greenwich -11C at midday." It seems likely that the day's maximum would have been several degrees high than this. With winds probably light and skies clear, judging by the low minima, the fact that proper screens for thermometers were yet to be in use may have depressed the values obtained.
14 December, 1890. "Coldest known December day in London, temperature never rose above -6C."
19 January, 1963. "Coldest day [of that winter]: afternoon temperatures of -7C in Surrey with E gale."
12 January, 1987. Maxima between -6C and -8C over much of England, with -9.1C at Warlingham.
From this short list, it looks as though the very coldest days mostly occur around the middle of January, and that the lowest possible maximum in the London area is close to -10C. That 1987 value at Warlingham may the lowest maximum in the London area that we can be absolutely certain is accurate, since the lower value in 1838 was a midday rather than a maximum temperature.