There are several contenders, but topping most people's list would be Foula in Shetland.
Foula is three and a half miles long by two and a half miles wide. It lies 15 miles west of mainland Shetland, which itself is the most northerly outpost of Britain, being 100 miles north of mainland Scotland.
Foula lies on the same latitude as southern Greenland, it is served by air flights five days a week and has ferry sailings two or three times a week. Both are cancelled in bad weather. Unfortunately, this can be frequently during the winter.
Foula means Bird Island in old Norse; the island's inhabitants were the last people in Britain to speak Norn, a form of Old Norse that died out in 1800. Today it has a population of 27 people but once supported more than ten times that number.
Old habits apparently die hard in Foula. It still uses the Julian Calendar, celebrating Yule on January 6 and New Year on January 13.