Overcoat

An overcoat was a form of coat from Earth.

The Doctor's overcoats
The Eighth Doctor wore a double breasted overcoat of bottle green moleskin (COMIC: The Pictures of Josephine Day; TV: The Night of the Doctor)

The Ninth Doctor wore a double breasted overcoat of ebony moleskin the launch of the RMS Titanic in 1912. (TV: Rose)

While he became the Doctor, Jackson Lake wore an overcoat of mustard brown tweed with a burgundy overcheck. (TV: The Next Doctor)

The Eleventh Doctor wore moleskin overcoats in olive (TV: Let's Kill Hitler) or black (TV: A Town Called Mercy)

The Twelfth Doctor wore a black overcoat during his showdown with Rassilon. (TV: Hell Bent)

The Thirteenth Doctor wore a black overcoat with her tuxedo. (TV: Spyfall)

Other overcoats
During the War in Heaven, Ishmael, an Inquisitor of the Order of Tarth'Rioshim, wore a red overcoat which matched his crimson suit. (AUDIO: Call Me Ishmael)

While posing as the "Other Doctor", wore an ebony black overcoat. (AUDIO: Dominion) During his Time War encounter with UNIT, the next incarnation of the Master wore a burgundy moleskin overcoat. (AUDIO: Master of Worlds) The Spy Master later wore a double breasted overcoat of plum purple Donagel tweed during his encounters with the Thirteenth Doctor. (TV: Spyfall, Ascenscion of the Cybermen|The Timeless Children)

Other references
Gita Chandra recalled being used "like an overcoat" by a "lizard spaceman". (TV: The Vault of Secrets)