BBC television (in-universe)

BBC television was a BBC station which broadcast a new television series whose name began with Doc— at 5:15 on a November Sunday in 1963. Ace turned on the television while at Mike Smith's house, and at first it displayed a test card and played music. She walked away before hearing about the new science fiction series. (TV: Remembrance of the Daleks)

In the mid-to-late 1960s, Vincent Elven Wishbone tried to get into showbusiness with BBC television, but was unsuccessful. (PROSE: Biography)

Behind the scenes
Doctor Who's first episode, "An Unearthly Child", aired at 5:16 on Saturday 23 November 2013, on BBC tv.