Yes I recall the winter of 1962/3. In London It first snowed on Boxing Day and everybody said “Ah! What a shame. If only it had snowed yesterday.” By the end of February everybody was absolutely sick of the stuff. Large amounts of snow fell almost everywhere and there was only a brief spell of one or two days in February when a brief thaw occurred. It was not until the first week of March that a prolonged thaw occurred.
Personal experiences obviously vary. Sport was obviously badly affected. The football season had to be extended for about a month and the “pools panel” was set up to provide the football results for the pools competitions. There was no racing in England between Christmas and the beginning of March. But where I was (in Central London) life went on with difficulty but largely normally. I cannot recall my school (in Islington) being closed at all though we may have been sent home early a few times if heavy snow was falling. My teachers seemed to make it in. My Form Master commuted from Pangbourne in Berkshire and he was in just about every day as far as I recall. We were still expected to slog out to Totteridge in North London for our weekly games sessions, where we played football on a pitch harder than concrete.
The comparison between that winter and 1947 is difficult. All the meteorological records suggest that the 62/63 winter was worse overall. It certainly produced the colder temperatures but I believe 1947 involved the greatest amount of snowfall. One unfortunate consequence of this was when the thaw eventually came it produced some devastating floods, more so than in 1963. But the effects on people may have been worse in 1947 anyway. The country was still recovering from the war, fuel was in short supply and infrastructure was still suffering from war damage.
However, whatever the comparison shows one thing is for sure – if such a winter occurs now the effects would be devastating. Schools would close immediately (they do so at the drop of a hat now); railways would be crippled with “snow drifting up to a centimetre in places” whilst the top of the rails remained clearly visible; many roads would be impassable for the duration. Live would be very difficult.