1963

March
(Note: Dating and other information is suggested by the Telos novella, "Time and Relative," although it seems to contradict material in "An Unearthly Child" and "Remembrance of the Daleks" suggesting that the TARDIS  arrives in May. See Dating disputes.)
 * Late March - The TARDIS materializes in the junkyard at 76 Totter's Lane, owned by I.M. Foreman, in the Shoreditch area of London, it's 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- "Time and Relative"

Late October

 * The Doctor has made arrangements with a local funeral parlor to bury the Hand of Omega in a nearby churchyard. ("Remembrance of the Daleks")


 * "An Unearthly Child"

November

 * 22 - 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. ("Who Killed Kennedy")
 * The Ninth Doctor is in the crowd watching President Kennedy's motorcade drive by in Dallas just before the President is assassinated. A photograph which shows the Doctor among the spectators later finds its way into Clive's collection of files about the Doctor ("Rose").


 * 23 - A new science-fiction serial, Doctor ___, begins broadcasting on the BBC. ("Remembrance of the Daleks") The Nemesis passes by Earth, heralding the assassination of President John F. Kennedy (see below). ("Silver Nemesis")


 * The events in "Remembrance of the Daleks" take place.

Unknown date
The Doctor's companion Nyssa is born on Traken.

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


 * 23 - An Unearthly Child First Broadcast (An Unearthly Child Episode 1)


 * 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

 * 06 - The Forest of Fear First Broadcast (An Unearthly Child Episode 3)


 * 13 - 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

 * Doctor Who: A History of the Universe, by Lance Parkin. Virgin Publishing, Ltd., 1996. ISBN 0-426-20471-9