14 June 1937: birth of Michael Ferguson, director of The War Machines (First Doctor, 1966), The Seeds of Death (Second Doctor, 1969), The Ambassadors of Death (Third Doctor, 1970) and The Claws of Axos (Third Doctor, 1971)
14 June 1985: death of Graham Leaman who played four roles in five Old Who stories: the captive Controller in The Macra Terror (Second Doctor, 1967), Price the communications office in Fury from the Deep (Second Doctor, 1968), the Grand Marshall of the Ice Warriors in The Seeds of Death (Second Doctor, 1969), and an un-named Time Lord in Colony in Space (Third Doctor, 1971) and The Three Doctors (Third Doctor, 1973). (Some dispute whether it is actually the same Time Lord.)
14 June 1998: possibly the youngest person I'll mention here, Julia Joyce played young Rose Tyler in Father's Day (Ninth Doctor, 2005), and Peter Capaldi's character's daughter Holly Frobisher in Torchwood: Children of Earth (2009).
14 June 2004: death of Max Rosenberg, who produced the two 1960s Dalek films.
ii) broadcast anniversaries
14 June 1969: broadcast of ninth episode of The War Games. The Doctor summons the Time Lords to deal with the situation, but is himself captured.
14 June 2008: broadcast of Midnight. The Doctor and fellow passengers on a space bus are trapped with a mysterious alien entity. I think this is the best single episode that RTD ever wrote.
14 June 2010: broadcast of Angel of the North, the twenty-third episode of the Australian K9 series. Gryffen goes in search of the Fallen Angel and finds out there's more to the alien ship then even a genius like him knew.
14 June 2016: Big Finish releases The Trouble with Drax, an audio play starring Tom Baker as the Doctor, Lalla Ward as Romana, John Leeson as K9, Ray Brooks as Drax (from The Armageddon Factor) and John Challis, Hugh Fraser and Miranda Raison in various parts. I don't normally note the anniversaries of Big Finish releases, but as it happens I listened to this at the weekend and hugely enjoyed it. You can get it here.