Overcoat
An overcoat was a form of coat from Earth.
The Doctor's overcoats
The Eighth Doctor wore double-breasted overcoats of moleskin done in bottle green (COMIC: The Pictures of Josephine Day; TV: The Night of the Doctor) or Prussian blue. (AUDIO: He Kills Me, He Kills Me Not)
The Tenth Doctor wore a cinnamon brown overcoat with his pinstripe suit. (TV: The Christmas Invasion-The End of Time)
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)
The Master's Overcoats
While posing as the "Other Doctor", the Reborn Master wore an ebony black overcoat. (AUDIO: Dominion)
During his Time War encounter with UNIT and the Cybermen, the War Master wore a maroon moleskin overcoat. (AUDIO: Master of Worlds)
Other overcoats
While he became the Doctor, Jackson Lake wore an overcoat of mustard brown tweed with a burgundy overcheck. (TV: The Next Doctor)
George Ratcliffe, leader of the Association. wore a charcoal overcoat when he and his men dug up the Hand of Omega for the Renegade Daleks. (TV: Remembrance of the Daleks)
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)
Diagoras wore a charcoal overcoat when he was getting recruits from Hooverville. (TV: Daleks in Manhattan)
Irving Braxiatel wore a black overcoat with his suit. (PROSE: Filthy Lucre, AUDIO: Everybody Loves Irving)
Other references
Gita Chandra recalled being used "like an overcoat" by a "lizard spaceman". (TV: The Vault of Secrets)