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") Later accounts identified this planet as Gallifrey, (TV: The Time Warrior) and that the Doctor was a Time Lord, (TV: The War Games) though it was perhaps interference from the Enemy that shifted the Doctor's past, as a boy of Faction Paradox taunted the Eighth Doctor about his origin in the 49th century. (PROSE: Unnatural History) 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)

House on the mountain
The Third Doctor recounted to Jo Grant that "when [he] was a little boy, we used to live in a house that was perched halfway up the top of a mountain". (TV: The Time Monster) This was the House of Lungbarrow, ancestral hall of the Doctor's bloodline, with the Doctor acknowledged as his home when he was forced to return to it in his seventh incarnation. (PROSE: Lungbarrow)

According to one account, after being exiled from Lungbarrow and travelling back in time, adopting his past reincarnation's granddaughter Susan as his own, (PROSE: Lungbarrow, The Longest Story in the World) the young Doctor came to live in "a small house on a mountain" with his "adopted granddaughter", Susan, who was described as coming from a distant and primitive time. Susan would tell the Doctor tales of him "building" the TARDIS and leaving their planet, becoming younger again and fighting monsters. Susan's tales became known by the guards of the High Council, and, after an incident outside the Capitol, the Doctor found that armed guards had infiltrated his house, forcing him to flee. (PROSE: The Longest Story in the World)

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)

This was made more literal after the Doctor made a return visit to Gallifrey in his seventh incarnation, only to witness the final destruction of the old House of Lungbarrow. When he returned to the TARDIS, its control room had spontaneously adopted a new appearance, reminiscent of an old wooden manor-house; "it was like the Doctor's home. As if his ship understood the loss of the House and had compensated to fill the emptiness". The Doctor murmured "Home…" at the sight. (PROSE: Lungbarrow)

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)