1963

March
(Note: Dating and other information is suggested by the Telos novella Time and Relative, although material in An Unearthly Child and Remembrance of the Daleks suggests that the TARDIS arrives in May)
 * 28 - Lizzie Lewis is murdered by Ed Morgan. (TW: Ghost Machine)
 * Late March - The TARDIS materializes in the junkyard at 76 Totter's Lane, owned by I.M. Foreman, in the Shoreditch area of London, its navigational systems and chameleon circuit damaged by radiation from the Hand of Omega. While the Doctor attempts repairs and works out a plan for safely disposing of the Hand on Earth, Susan, against his wishes, registers at the nearby Coal Hill School. Britain, meanwhile, is in the grip of an unusual cold wave.

April

 * 1 - The events of Time and Relative take place

October

 * Late October - The Doctor has made arrangements with a local funeral parlor to bury the Hand of Omega in a nearby churchyard. (DW: Remembrance of the Daleks)
 * The events of An Unearthly Child take place

November

 * Sometime before the 22nd - The Spacefleet fighter Tisiphone, which had fallen into a temporal rift in 2547 during a battle with Daleks, exits the temporal rift near Earth space. Its crew manages to escape to England. (NA:Return of the Living Dad)
 * 22 - In Texas, President John F. Kennedy is assassinated by James Stevens, a journalist who has travelled from the future using a time ring. Stevens is the long-rumored "man on the grassy knoll," who has murdered the President to thwart the Master's plan to sabotage Earth's history and create a timeline in which UNIT and very possibly the Third Doctor never existed. (MA: Who Killed Kennedy) The Ninth Doctor is in the crowd watching President Kennedy's motorcade drive by just before the President is assassinated. A photograph which shows the Doctor among the spectators later finds its way into Clive Finch's collection of files about the Doctor. (DW: Rose)
 * 23 - A new science-fiction serial, Doctor ___, begins broadcasting on the BBC. (DW: Remembrance of the Daleks) The Nemesis passes by Earth, heralding the assassination of President John F. Kennedy (see below). (DW: Silver Nemesis)
 * The events of Remembrance of the Daleks take place.

Unknown date
Nyssa is born on Traken.

In John Smith's fictional future, he dies in this year (DW: The Family of Blood

September

 * 19 - First filming session for the show. A one day shoot at Ealing

October

 * 09 - Filming resumes at Ealing for An Unearthly Child
 * 11 - Filming ends at Ealing for An Unearthly Child
 * 11 - One day studio filming at Lime Grove Studio D for An Unearthly Child
 * 25 - One day studio filming at Lime Grove Studio D for An Unearthly Child. Margot Maxine, an extra hired as a member of the tribe, walks out at 3:00 after refusing to have her teeth blackened

November

 * 01 - One day studio filming at Lime Grove Studio D for An Unearthly Child
 * 08 - One day studio filming at Lime Grove Studio D for An Unearthly Child
 * 22 - Filming of an episode of The Daleks is interrupted by the news of John Kennedy's assassination earlier that day.
 * 23 - "An Unearthly Child" First Broadcast (An Unearthly Child Episode 1); this is the same day Kennedy's alleged assassin Lee Harvey Oswald is killed in Dallas
 * 30 - "An Unearthly Child" Broadcast for second time as many viewers missed the original screening as a result of a power cut
 * 30 - "The Cave of Skulls" First Broadcast (An Unearthly Child Episode 2)

December

 * 07 - "The Forest of Fear" First Broadcast (An Unearthly Child Episode 3)
 * 14 - "The Firemaker" First Broadcast (An Unearthly Child Episode 4)
 * 21 - "The Dead Planet" First Broadcast (The Daleks Episode 1)
 * 28 - "The Survivors" First Broadcast (The Daleks Episode 2)

Reference

 * A History of the Universe by Lance Parkin