Pterodactyl

The Pterosaurs (often erroneously referred to as Pterodactyls) were a type of winged reptile native to Earth in its early history.

Biology
There were numerous species of pterosaurs, ranging in size from small (TV: Invasion of the Dinosaurs) to ones with forty-foot wingspans (PROSE: Blood Heat). No one knew how they took off from the ground to fly. (PROSE: EarthWorld)

History
One type of Pterosaur was brought to the 1970s during Operation Golden Age. They were used for general chaos and to help guard the Operation's base. (TV: Invasion of the Dinosaurs)

In an alternate universe, an especially large type of Pterosaur were used by the Silurians as steeds. With a forty-foot wingspan, they could easily carry a Silurian. They were used as war steeds in times of battle and would cling to the side of the airships. (PROSE: Blood Heat)

A Pterodactyl later named Myfanwy came through the Cardiff Space-Time Rift to Cardiff in 2007. It was captured by Torchwood Three and kept as a mascot at the Hub. (TV: Everything Changes)

On New Jupiter, EarthWorld had a Pterosaur in its Prehistoric Zone. (PROSE: EarthWorld)

In 2010, Pterodactyls were some of the prehistoric creatures brought into Sydney by chronal waves caused by the SKARDIS. (COMIC: The Age of Ice) In an alternative timeline in which all of history happened at once, Pteranodons were considered to be vermin. They were found in places such as Hyde Park and would chase people. (TV: The Wedding of River Song)

Pterodactyls were among the species placed aboard the Silurian Ark to repopulate the Earth with once the catastrophe the Silurians incorrectly predicted had passed. Flocks of Pteranodons were known to live in the Ark's beach-like environments.

The Ark's Pterodactyls were presumably sent to the planet Siluria by the Eleventh Doctor in the 24th century after he stopped the Ark from returning to Earth. (TV: Dinosaurs on a Spaceship)

The Rani genetically modified Pterodactyls to attack Koturians and bring her black blood and tissue samples from them. Sometimes they would also bring back the whole individual for her experiments. The Sixth Doctor recognised them as the work of the Rani thanks to the gold sheen on their wings. (PROSE: Something Borrowed)

Similar creatures
The home world of the Spidrons was inhabited by pterodactyl-like creatures, which attacked the Third Doctor shortly after he arrived on its world. (COMIC: Nova)

A zoo on an unnamed planet acquired a pterodactyl or a pterodactyl-like creature. (COMIC: The Didus Expedition)

Terrordactyls were pterodactyl-like creatures native to the Great Space-Time Void. (GAME: The First Adventure)

Tamed pterodactyl-like creatures were used on Anhaut as riding mounts. (COMIC: Return of the Daleks)

Doctor Who: Battles in Time
The non-narrative material in Doctor Who: Battles in Time magazine pertaining to Dalek Wars explained more about pterosaurs and pterosaur-like creatures.

According to DWBIT 7, Pterosaurs were also native to the planet Raxas, and along with the other Raxas dinosaurs, proved to be more than a match for a Dalek attack. They picked up Daleks, grabbing them between their feet, flying high into the air and dropping them to their deaths on the rocks below.

According to DWBIT 27, the Perrincott were a pterosaur-like species native to the planet Senkus Sha.

Other References
A Pteranodon appears on the Whodle, helping to the Doctor to cross the lava river came back him to the TARDIS, if you go to the egg hidden on a bush.