10 November 1936: birth of Terence Lodge, who played the unfortunate Medok in The Macra Terror (Second Doctor, 1967), reluctant coup-ist Orum in Carnival of Monsters (Third Doctor, 1973) and the hapless Moss in Planet of the Spiders (Third Doctor, 1974),
10 November 1960: birth of Neil Gaiman, who wrote Hugo-winning The Doctor's Wife (Eleventh Doctor, 2011) and also Nightmare in Silver (Eleventh Doctor, 2013); and a few other things, I understand.
10 November 1989: death of Clyde Pollitt, who played a Time Lord (the Chancellor) in The War Games (Second Doctor, 1969) and The Three Doctors (Third Doctor, 1973).
10 November 1991: death of Tutte Lemkow, who played Kuiju in Marco Polo (First Doctor, 1964), Ibrahim in The Crusade (First Doctor, 1965), and Cyclops in The Myth Makers (also First Doctor, 1965). The first of these is lost but the other two survive. He also choreographed the dancing scenes in The Celestial Toymaker (1966).
ii) broadcast anniversaries
10 November 1979: broadcast of third episode of The Creature from the Pit. In a memorable scene, the Doctor talks to the Creature, and the egg device comes alive.
10 November 2008: broadcast of second episode of The Mark of the Berserker (SJA). Maria, in a welcome (but, alas, final) cameo, tells Luke, Clyde and Rani the secret of the pendant. Clyde retrieves it and tells his father to catch himself on.
iii) date specified in canon
10 November 1913: the Family of Blood arrives in England, as seen in Human Nature (2007).