11 June 1966: broadcast of third episode of The Savages. Jano has absorbed the Doctor’s essence and starts to behave like him.
11 June 2005: broadcast of Bad Wolf. The Doctor, Rose and Jack find themselves participating in TV game shows, but the Daleks are behind it all.
ii) date specified in canon
11 June 1925: events of Black Orchid (1982)
It is a small world, darling!