4 June 1926: birth of Peter R. Newman, writer of the story we now call The Sensorites (First Doctor, 1964).
4 June 1927: birth of Geoffrey Palmer, who played Masters in Doctor Who and the Silurians (Third Doctor, 1970), the Administrator in The Mutants (Third Doctor, 1972), and Hardaker in Voyage of the Damned (Tenth Doctor, 2007). His son Charles Palmer directed four episodes of Doctor Who in 2007.
4 June 1930: birth of Edward Kelsey, who played the slave buyer in the story we now call The Romans (First Doctor, 1965), Resno in The Power of the Daleks (Second Doctor, 1966) and Edu in The Creature from the Pit (Fourth Doctor, 1979).
4 June 1933: birth of Ric Felgate, who appeared in three stories all directed by his brother-in-law Michael Ferguson. He was Roy Stone, an American journalist in The War Machines (First Doctor, 1966), Brent, killed by the Ice Warriors in The Seeds of Death (1969) and astronaut Charles Van Lyden, the first person seen on screen in The Ambassadors of Death (Third Doctor, 1970).
4 June 1940: birth of David Collings, who played Vorus in Revenge of the Cybermen (Fourth Doctor, 1975), Poul in The Robots of Death (Fourth Doctor, 1978), and Mawdryn in Mawdryn Undead (Fifth Doctor, 1983). He also played an alternate Doctor in the 2003 Big Finish audio Full Fathom Five, by Gary Russell.
4 June 1946: birth of Colin Prockter, who played the Head chef in The Long Game (Ninth Doctor, 2005) and the ARP Warden in Victory of the Daleks (Eleventh Doctor, 2010).
4 June 1960: birth of Bradley Walsh, who played Graham O'Brien in the first two Thirteen Doctor series (2017-21) and also Elijah Spellman, Odd Bob the Clown and the Pied Piper in The Day of the Clown (Sarah Jane Adventures, 2007).
4 June 1969: birth of Julie Gardner, Executive Producer of New Who from 2005 to 2008. She has more above the line credits than any other woman in the history of the DWU franchise.
4 June 1980: birth of Philip Olivier, who plays the Seventh Doctor's companion Hex in Big Finish audios.
ii) broadcast anniversaries
4 June 1966: broadcast of second episode of The Savages. The Doctor works out what the Elders have been doing, but his life energy is drained by Jano.
4 June 2005: broadcast of Boom Town. The Doctor and Rose discover that a Slitheen is mayor of Cardiff and has sinister plans for the Blaidd Drwg nuclear power station.
4 June 2011: broadcast of A Good Man Goes To War, mid-series finale of Series 7 of New Who. Amy gives birth; across the galaxy, the Doctor and Rory are assembling an army to fight the battle that lies ahead, whilst in Stormcage, River Song prepares to escape for what may be the last time.
iii) date specified in canon
4 June 1926: The crew of the SS Bernice vanishes from the Indian Ocean, becoming an exhibit in Vorg's Miniscope, as seen in Carnival of Monsters (Third Doctor, 1973).