Police

Police forces were government organisations charged with maintaining law and order. It was a dangerous job, especially in the United States of America. (TV: Nightvisiting) Female police officers on Earth did not exist until after the 1920s. (TV: The Unicorn and the Wasp)

The Fourth Doctor compared the Krynoid pods to policemen because both travelled in pairs. (TV: The Seeds of Doom)

The Judoon and Atraxi were police forces working throughout Mutter's Spiral, though Earth's planetary development level in the 21st century placed it out of their jurisdiction. (TV: Smith and Jones, The Eleventh Hour, Prisoner of the Judoon) In the 26th century, the term "police" was considered old-fashioned (PROSE: Prisoner of the Daleks)

19th century
In the 19th century, a number of police and detectives were involved in the cases surrounding the suicide of Gordon Seavers and the murders at Banquo Manor. (PROSE: The Banquo Legacy)

A number of policemen, led by Inspector George Duncan Stringer, were assigned to the Crystal Palace in London. They were turned into wasp/human hybrids by Ajeeth, Lady Cornelia Basildon-Stone's servant, but later returned when Basildon-Stone fell to her death. (COMIC: The Crystal Throne)

20th century
In 1927, New York police shot Jack Harkness and arrested Angelo Colasanto. (TV: Immortal Sins)

To make sure that Elizabeth II's coronation in 1953 went smoothly, the police hid away people whose faces were consumed by the Wire. (TV: The Idiot's Lantern)

A lone policeman patrolled the Coal Hill area of London in 1963. When passing a junkyard owned by I.M. Foreman, he did not notice the presence of a strange, humming police box. (TV: An Unearthly Child)

Thanks to the intercession of the temporarily miniaturised First Doctor and his companions, police (including PC Bert Rowse) were able to arrest corrupt industrialist Forester for the murder of Arnold Farrow. (TV: Planet of Giants)

Pursued by the Daleks through time and space, the Doctor's TARDIS materialised in the yard of a police station in 1965 Liverpool, its scanner malfunctioning. After some trouble with the local police, the First Doctor managed to repair the malfunctioning scanner and depart. (TV: The Daleks' Master Plan)

The First Doctor hung a sign reading "OUT OF ORDER" on the front of the TARDIS (even though, as Dodo Chaplet would later point out, not even the police could open the door). When a policeman approached the police box, he saw the sign and moved on. (TV: The War Machines)

A policeman spotted the Second Doctor and his companions on a runway at Gatwick Airport and chased after them. When they scattered, the policeman went after Ben. (TV: The Faceless Ones)

Two policemen in a police car were attacked by the spacesuited alien ambassadors outside the isotope factory while trying to prevent them and Reegan from stealing radioactive isotopes. (It is unclear as to whether one or both officers survived.) (TV: The Ambassadors of Death)

Two Autons impersonated policemen, complete with a stolen police car, in a failed attempt to kill the Third Doctor and Jo Grant. (TV: Terror of the Autons)

A policeman witnessed Brigadier Lethbridge-Stewart and the Third Doctor's high-speed chase of Lupton. (TV: Planet of the Spiders)

The police were present at the Louvre in Paris investigating the theft of the Mona Lisa. The Fourth Doctor managed to somehow slip past the cordon and into the building, where he asked the Louvre guide if she had seen two people (Romana II and Duggan) last night trying to stop the painting from being stolen. However, the guide was unable to help. (TV: City of Death)

In Amsterdam, Robin Stuart was alarmed to see a policeman, but his friend Colin Frazer assured him that he wouldn't be sent to prison for losing his passport. (TV: Arc of Infinity)

Gustave Lytton disguised himself as a policeman on Earth in 1984, and his two henchmen did likewise. (TV: Resurrection of the Daleks, Attack of the Cybermen)

In 1999, the Eighth Doctor stole a motorbike from a policeman in order to reach the beryllium atomic clock at the Institute for Technological Advancement and Research in San Francisco. (TV: Doctor Who)

21st century
In 2006, the police were interviewing Rose Tyler and the Ninth Doctor when Rose had disappeared for a year (but only a few days from her perspective). In the interim, Mickey had been questioned multiple times for murder. Sip Fel-Fotch Passameer-Day Slitheen disguised himself as police officer Strickland, in order to get close enough to kill anyone associated with the Doctor. (TV: Aliens of London/World War Three)

On Christmas 2006, a policeman was reporting on the people with A+ blood ready to jump from roofs of London thanks to the Sycorax's blood control. (TV: The Christmas Invasion)

In 2007, Sally Sparrow approached DI Billy Shipton, who had been investigating disappearances at Wester Drumlins. (TV: Blink)

Gwen Cooper, before she worked for Torchwood Three, had been a police officer, along with most of her friends. Shortly before Gwen joined Torchwood, she and Andy Davidson looked into John Tucker's murder and were involved with stopping a fight at a pub. (TV: Everything Changes)

Police were called to investigate Matt Stevens' unusual death. (TV: Day One)

Mark Goodson had himself arrested by police for protection from the fairies. (TV: Small Worlds)

After Torchwood Three's encounter with the Brynblaidd villagers, the villagers were arrested by police. (TV: Countrycide)

Police cordoned off a 200-year-old corpse of a soldier near an Arcateenian transporter. (TV: Greeks Bearing Gifts)

DI Henderson looked into the prevented murder of Carol and Danny. (TV: Greeks Bearing Gifts)

Kathy Swanson's team investigated Max Tresilian's murder of Mark and Sarah Brisco and Alex Arwyn. Her team later helped Torchwood find the right code to break the Torchwood Hub's lockdown. (TV: They Keep Killing Suzie)

Police had a violent encounter with English Civil War soldiers when they came through the Cardiff Space-Time Rift. (TV: End of Days)

In 2008, Sarah Jane Smith was arrested for the kidnapping of "Ashley Stafford" (who Mr Smith had faked evidence to make him appear as the son of Jay and Heidi Stafford). Sarah Jane's connections with UNIT had her quickly released. (TV: The Lost Boy)

Police were at the site of a mugger covered in Rift energy. (TV: Kiss Kiss, Bang Bang)

Police called to the crime scene when two burglars robbed Beth Halloran and Mike Lyndon. When they arrived, Beth had unknowingly stabbed one of them and pushed another out of her flat. (TV: Sleeper)

Police cordoned off the traffic accident that killed Leighton Reynolds. Later, the Torchwood Three team pretended to be police while questioning Rhys Williams, Leighton's manager. (TV: Meat)

Marie Thomas called the police when the Pharm tried and failed to murder her. Later, police were at the crime scene of the Pharm's murder of Barry Leonard. (TV: Reset)

Following a fight, Jack Harkness and the newly-undead Owen Harper were arrested. (TV: Dead Man Walking)

Rift activity caused several senior police officers at Andy Davidson's police station to be mauled by Weevils. (TV: Exit Wounds)

On Easter 2009, DI McMillan was on the case for arresting Lady Christina de Souza for robbery. The Tenth Doctor pretended to arrest himself inside a police box for allowing her escape. (TV: Planet of the Dead)

Following Miracle Day in 2011, the Welsh police helped Rex Matheson to extradite Jack Harkness and Gwen Cooper to the United States. (TV: The New World)

A team of armed police, led by Andy Davidson, rescued Gwen Cooper's family from being held hostage. (TV: Immortal Sins)

Ralph Finch discovered the category 1 Geraint Cooper hiding in Swansea, and subsequently took him away to Cowbridge Overflow Camp. (TV: The Gathering)

Rory Williams was mistaken for a plain-clothes policeman by Ambrose Northover in 2020 Cwmtaff. (TV: The Hungry Earth)

Harry Pike, father of Darius Pike, was one of the last policemen to serve in England, before The Department replaced them with CCPCs. (TV: The Last Precinct)

5,000,000,000 AD
In 5,000,000,023, The New New York Police Department arrested the Sisters of Plenitude after the NNYPD were alerted of experimenting on "the flesh". (TV: New Earth) In 5,000,000,029, the department, and all police authority on New Earth were consumed by the Bliss virus. (TV: Gridlock)

Humans
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Metropolitan Police Service
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Daleks' Invasion Earth 2150 A.D.

 * In Daleks' Invasion Earth 2150 A.D., a film not considered a valid source by this wiki, Tom Campbell was a Special Constable from London who witnessed and was attacked during a robbery at a jeweller's shop, and burst into Dr. Who's TARDIS after mistaking it for a genuine police box.

Other matters

 * The policeman seen at the beginning of An Unearthly Child has the distinction of being the very first character to appear on Doctor Who.