i) births and deaths

27 December 1934: birth of Christopher Benjamin, who played Sir Keith Gold in Inferno (Third Doctor, 1970), Henry Gordon Jago in The Talons of Weng-Chiang (Fourth Doctor, 1977) and the Big Finish Jago and Litefoot stories, and Colonel Hugh Curbishley in The Unicorn and the Wasp (Tenth Doctor, 2008) as well as Tardelli in the 2008 Eighth Doctor audio Grand Theft Cosmos.

27 December 1940: birth of Paul Joyce, who was the director of Warrior's Gate (Fourth Doctor, 1981)

ii) broadcast anniversaries

None. This is the last such day in the calendar year (I was wrong last week to say that 20 December was); the next 177 days (178 if leading into a leap year) all have broadcast Whoniversaries, until 22 June ends the run.