The Doctor's home

The Doctor referred to several places as home.

Homeworld
The First Doctor and his granddaughter Susan Foreman were "cut off" from their home planet, (TV: "An Unearthly Child") unable to return. (TV: "Bell of Doom") Most accounts identified this planet as Gallifrey, (TV: The Time Warrior) and that the Doctor was a Time Lord. (TV: The War Games) According to one account of the Doctor's early life before the First Doctor, they were the Timeless Child of an unknown species and realm who was brought to Gallifrey by Tecteun. (TV: The Timeless Children)

Following the Last Great Time War, the Ninth Doctor claimed that his home and his people had been destroyed by the Daleks. (TV: Dalek) The Eleventh Doctor, after learning that he had relocated Gallifrey to another universe rather than destroying it, came to realise that he had always been going "home, the long way round." (TV: The Day of the Doctor)

The TARDIS
The TARDIS, the space-time vessel which the Doctor and Susan used to escape their home planet, (TV: The Name of the Doctor) could also be said to be the Doctor's home. Indeed, the Second Doctor told Victoria Waterfield that the TARDIS was his home "at least, it has been for a considerable number of years." (TV: The Tomb of the Cybermen) The Thirteenth Doctor identified the TARDIS as her home, as well as the home of her companions. (TV: The Tsuranga Conundrum)

Home from home
Landing on the planet Earth, the First Doctor and Susan spent some months living in the year 1963, with the latter attending Coal Hill School, giving her address as 76 Totter's Lane, the junkyard where the Doctor kept the TARDIS. (TV: "An Unearthly Child") As acknowledged at the end of their fourth incarnation, the Doctor came to know Earth as their "home from home". (TV: Logopolis) The Twelfth Doctor, however, insisted that Earth was not his home as he explained to Clara Oswald why he could not interfere in the moon crisis. (TV: Kill the Moon)

Returning to the laboratory of UNIT HQ, the dying Third Doctor told Sarah Jane Smith that the TARDIS had brought him home. (TV: Planet of the Spiders)

During the siege of Trenzalore, Tasha Lem observed that the Eleventh Doctor had made his new home on the planet Trenzalore, residing in the Clock Tower in the town of Christmas. (TV: The Time of the Doctor)

Ruth Clayton, the human persona of the Fugitive Doctor, remembered a lighthouse as being her family home. (TV: Fugitive of the Judoon)