Bicycle
Bicycles were a common means of transport for humans on Earth from the 20th century onwards.
Uses of bicycles
The Second Doctor used a tandem bicycle along with a pedal-driven helicopter rotor to invent the pedal-copter. (COMIC: Attack of the Daleks)
Whizz Kid used a BMX bike to make his way to the Psychic Circus on Segonax. (TV: The Greatest Show in the Galaxy)
Rudy Zoom claimed he was "the first man to cycle the rings of Saturn". (COMIC: The Eye of Torment)
20th century
In 1913, Martha Jones and Jenny both rode bicycles. (TV: Human Nature)
On 8 December 1926, the Reverend Arnold Golightly arrived at Eddison Manor on a bicycle. (TV: The Unicorn and the Wasp)
On 25 December 1938, Madge Arwell was cycling past a field when the Eleventh Doctor fell from a sub-orbital spaceship. (TV: The Doctor, the Widow and the Wardrobe)
In 1964, Forester drove a big American car, which caused PC Bert Rowse to swerve his bicycle straight into a muddy ditch. (PROSE: Planet of Giants)
In the 1970s, Pigbin Josh, a homeless tramp, used a worn down bicycle to travel around. He accidentally rode over a thin patch of ice and crashed through. He recovered and found an Axos ship that had landed on Earth. The Axos captured and probed him, draining out his life. (TV: The Claws of Axos)
The Fifth Doctor was flung into a duck pond in Stockbridge when Jane Potter ran into him on her bicycle on her way to school. (AUDIO: The Eternal Summer)
In 1976, Peter Hutchings met his future wife Emily West in Greenwich Park when he accidentally ran into her, distracted by Ace's jacket. (PROSE: Timewyrm: Revelation)
In 1978, Professor Rumford came to the Doctor's aid while cycling at night. (TV: The Stones of Blood)
In 1981, Adric used a murdered policeman's bicycle to create a distraction to allow the Fourth Doctor to escape arrest. (TV: Logopolis)
Although Turlough lived in England for some time during the 1980s, he did not know how to ride a bicycle. (AUDIO: Equilibrium)
21st century
A blond man decided to travel to work by bicycle after an encounter with the Tenth Doctor. (COMIC: Bus Stop)
The tyre of Louie Rollins' bicycle was punctured on his way home from school the day after a Hallowe'en party. (PROSE: The Night After Hallowe'en)
The Tenth Doctor suggested that Bowie Base One should have taken fold-away bikes with them for ease of transport. Although at first reluctant, Adelaide Brooke agreed with him while running from the Flood. (TV: The Waters of Mars)
26th century
In 2589, Headhunter fell off of a bicycle on Phobos. (AUDIO: Phobos)
In 2595, Bernice Summerfield lent her bicycle to the artist Menlove Stokes, on condition that he wouldn't use it for art. (PROSE: Dry Pilgrimage)
33rd century
In 3295, bicycles were used on Starship UK. (TV: The Beast Below)
Uses of bicycle components
The helmic regulator in the Tenth Doctor's TARDIS appeared in the form of a bicycle pump. (TV: Smith and Jones)
Other references
Iris Wildthyme had a tattoo of a bumblebee riding a bicycle. (AUDIO: Iris Rides Out)
Alan Turing was unsteady on a bicycle. (PROSE: The Turing Test)
The Ninth Doctor, perhaps jokingly, claimed to have left Rose Tyler a red bicycle for Christmas when she was twelve, many years before they had first met in her personal timeline. (TV: The Doctor Dances)
Zoe Heriot wanted to buy a bicycle at the Frenko Bazaar in order to ride it inside the TARDIS. (COMIC: Prisoners of Time)