Trenchcoats were coats made for protection from weather, famously worn on wars.
Worn by the Doctor[]
The Fourth Doctor wore a walnut brown trenchcoat with dark brown trim when going to check on Earth during 16087, (TV: The Ark in Space) and when he fought Field Major Styre of the Sontaran G3 Military Assessment Survey and tricked his marshal into cancelling an invasion of Earth. (TV: The Sontaran Experiment) He also wore a single-breasted trenchcoat of plum purple velvet when he and Romana II foil Tryst's conversion of Mandrels into Vraxoin. (TV: Nightmare of Eden) He eventually wore a burgundy trenchcoat, (TV: The Leisure Hive) up to his death after the Tremas Master's Entropic Enterprise. (TV: Logopolis) His successor, the Fifth Doctor, wore it before switching for a beige frock coat with scarlet trim. (TV: Logopolis, Castrovalva)
The Seventh Doctor tried a copy of the Fourth Doctor's burgundy trenchcoat before eventually going for a silver grey safari jacket. (TV: Time and the Rani) He also wore a black leather trenchcoat on Nazi Germany. (PROSE: Timewyrm: Exodus)
The War Doctor wore some double-breasted trenchcoats of leather with peaked lapels done in coal black, (AUDIO: Lion Hearts) walnut brown, (COMIC: The Clockwise War) wood brown, (COMIC: Ambush) mocha brown, (AUDIO: In Name Only) cinnamon brown, (COMIC: The Lost Dimension) ebony black, (COMIC: The Whole Thing's Bananas) chestnut brown, (COMIC: Four Doctors) caramel brown, (TV: First Rule), or chocolate brown. (PROSE: Engines of War). His chocolate brown trenchcoat was his last one which he wore in the Battle for the Tantalus Eye, (PROSE: Engines of War) and right up to his death after the 1562/2013 Zygon Invasion of Earth and the Fall of Gallifrey. (TV: The Day of the Doctor)
In World War I, the Ninth Doctor wore a British Army trenchcoat. (COMIC: The Forgotten)
The Thirteenth Doctor wore a hooded, periwinkle trenchcoat with midnight blue interim, apart from the sleeves, which had lavender insides, and a rainbow pattern along the edges. (TV: The Woman Who Fell to Earth [+]Chris Chibnall, Doctor Who series 11 (BBC One, BBCA, Space and Australian Broadcasting Corporation, 2018). - The Power of the Doctor [+]Chris Chibnall, Doctor Who Centenary Special 2022 (BBC One, 2022).)
The Fifteenth Doctor frequently wore a double-breasted trenchcoat of burnt orange leather with peaked lapels over his stripy cardigans. (PROSE: "Heroes of Time" [+]Part of Whotopia: The Ultimate Guide to the Whoniverse, Simon Guerrier, Una McCormack and Jonathan Morris, BBC Books (2023).; TV: The Church on Ruby Road [+]Doctor Who Christmas Special 2023 (2023).)
A child incarnation of the Doctor bound to a high-tech wheelchair wore a double-breast trenchcoat of tan leather. (PROSE: Rose)
The Warrior, a parallel version of the Doctor's fifth incarnation which looks similar to the sixth, wore a double-breasted trenchcoat of chocolate brown leather with peaked lapels similar to the War Doctor of N-Space. (AUDIO: Aftershocks)
Worn by companions[]
Sarah Jane Smith occasionally wore many double-breasted trenchcoats with peaked lapels. (TV: Eye of the Gorgon [+]Phil Ford, The Sarah Jane Adventures series 1 (CBBC|CBBC]], 2007)., The Last Sontaran [+]Phil Ford, The Sarah Jane Adventures series 2 (BBC One and CBBC, 2008)., The Mark of the Berserker [+]Joseph Lidster, The Sarah Jane Adventures series 2 (CBBC, 2008).)
Amy Pond wore a double-breasted teal trenchcoat with peaked lapels during her encounter with Vincent van Gogh. (TV: Vincent and the Doctor [+]Richard Curtis, Doctor Who series 5 (BBC One, 2010).)
Donna Noble wore a single-breasted trenchcoat of tan leather with peaked lapels during her final adventures with the Tenth Doctor (TV: Turn Left [+]Russell T Davies, Doctor Who series 4 (BBC One, 2008).) including the Planetary Relocation Incident caused by Davros and the New Dalek Empire; and also during the Tenth Doctor's siphoned regeneration. (TV: The Stolen Earth [+]Russell T Davies, Doctor Who series 4 (BBC One, 2008)./Journey's End [+]Russell T Davies, Doctor Who series 4 (BBC One, 2008).)
Martha Jones wore a double-breasted trenchcoat of charcoal grey leather with peaked lapels with her mauve tank top. (TV: Reset [+]J. C. Wilsher, Torchwood series 2 (BBC Three, 2008).)
Susan Foreman wore a beige trenchcoat during the Game of Rassilon. (TV: The Five Doctors [+]Terrance Dicks, Doctor Who 20th Anniversary Special (Public Broadcasting Service, 1983).)
Tegan Jovanka wore a double-breasted trenchcoat done in charcoal grey with a steel blue trim. (TV: The Power of the Doctor; WC: The Passenger; GAME: Lost in Time)
Lieutenant Harry Sullivan, a doctor from UNIT, wore a beige trenchcoat when posing as a member of the Ministry of Defence to question the National Institute for Advanced Scientific Research. (TV: Robot)
Worn by the Master[]
The Master wore trenchcoats in some incarnations.
The Bruce Master wore a black leather trenchcoat during the 2223 Dalek invasion of Earth. (AUDIO: Faustian-Passion)
The Spy Master wore a double-breasted trenchcoat of black leather with peaked lapels when posing as a Nazi in Paris during 1943. (TV: Spyfall [+]Chris Chibnall, Doctor Who series 12 (BBC One, 2020).) He also wore the Thirteenth Doctor's periwinkle trenchcoat when processing her body as part of his master plan. (TV: The Power of the Doctor [+]Chris Chibnall, Doctor Who Centenary Special 2022 (BBC One, 2022).)
Worn by others[]
Detective Duggan wore a beige trenchcoat when he helped the Fourth Doctor and Romana II. (TV: City of Death)
Sally Sparrow wore a dark brown trenchcoat during her first encounter with Weeping Angels. (TV: Blink)
Ambrose Northover wore a magenta trenchcoat during her first encounter with Silurians including when she betrayed the Eleventh Doctor, killed Alaya, and almost doomed her people to Restac during the Cwmtaff incident. (TV: The Hungry Earth|Cold Blood)
Vienna Salvatori who dwelled during the 2223 Dalek invasion of Earth wore leather trenchcoats done in navy, (AUDIO: The Shadow Heart-Vengeance) or ebony black. (AUDIO: The Nemesis Express-Passion)
John Ellis wore two trenchcoats; one in raven black, and one in tan. (TV: Out of Time)
Artie Berger, a piano musician, wore a chestnut brown trenchcoat when helping to capture a sound monster on 1946. (AUDIO: Fright Motif)
Kate Stewart wore a beige trenchcoat during the Year of the Slow Invasion. (TV: The Power of Three [+]Chris Chibnall, Doctor Who series 7 (BBC One, 2012). ; PROSE: The Whoniverse) She also wore a raven black trenchcoat during the 1562/2013 Zygon invasion of Earth, (TV: The Day of the Doctor [+]Steven Moffat, 50th Anniversary Specials (BBC One, 2013).) and also wore a battleship grey one when dealing with Zygon rebels known as Truth or Consequences. (TV: The Zygon Inversion [+]Peter Harness and Steven Moffat, Doctor Who series 9 (BBC One, 2015)./The Zygon Invasion [+]Peter Harness, Doctor Who series 9 (BBC One, 2015).)
Ursula Blake wore an ochre trenchcoat up to being absorbed by the Absorbaloff. (TV: Love and Monsters)
The Second Rani wore a black trenchcoat when posing as Professor Baxton. (AUDIO: The Rani Elite, Planet of the Rani)
One version of the Corsair with a bowler hat wore a black trenchcoat. (PROSE: Eleven Things You Probably Didn't Know About the Corsair)