28 December 1916: birth of Noel Johnson who played King Thous in The Underwater Menace (Second Doctor, 1967) and Sir Charles Grover in Invasion of the Dinosaurs (Third Doctor, 1974).
Also 28 December 1916: birth of Dennis Edwards who played the Centurion in the story we now call The Romans (First Doctor, 1965) and the surgeon Time Lord Gomer in The Invasion of Time (Fourth Doctor, 1978).
28 December 1990: death of Edward Brayshaw, who played Léon Colbert in The Reign of Terror (First Doctor, 1964) and the War Chief in The War Games (Second Doctor, 1969).
28 December 1999: death of Donald Cotton, who wrote The Myth Makers (1965) and The Gunfighters (1966) as well as the novelisations of both stories and of The Romans (1965), three of the best Who novelisations in the range.
ii) broadcast anniversaries
28 December 1963: broadcast of "The Survivors", second episode of the story we now call The Daleks. The Doctor, Ian and Susan join Barbara as prisoners of the sinister metal creatures, but are suffering from radiation poisoning. Susan returns to the Tardis to get anti-radiation drugs. (Or gloves.)
28 December 1969: broadcast of first episode of The Krotons, the first but not the best from Robert Holmes. The Doctor, Jamie and Zoe arrive on the planet of the Gonds and witness the destruction of the brightest of their young people.
28 December 1974: broadcast of first episode of Robot, first full episode for Tom Baker as the Fourth Doctor and Ian Marter as Harry Sullivan. The newly regenerated Doctor starts to investigate mysterious thefts at military establishments, involving the sinister Think Tank and Professor Kettlewell. Oh, and a robot.
28 December 1981: broadcast of A Girl's Best Friend, the first and only episode of K9 and Company, starring John Leeson as the voice of K9 and Elisabeth Sladen as Sarah Jane Smith. Our heroes disrupt a local human-sacrificing coven.
28 December 1987: broadcast of third episode of The Greatest Show in the Galaxy. The Doctor and Ace start to unravel the mystery of the Psychic Circus; but the Doctor is trapped in the ring with a werewolf.