Pterodactyl
The Pterodactyls (or Pterosaurs) were a type of winged reptiles native to Earth from the late Triassic to the late Cretaceous. They were wiped out, along with the dinosaurs, by a time-traveling space freighter. (DW: Earthshock)
One type of Pterodactyl was brought to the 20th century during Operation Golden Age. They were used for general chaos and to help guard the base. (DW: Invasion of the Dinosaurs)
Another type, the Pteranodon, had one individual brought to 20th century Cardiff by the Cardiff Rift. This Pteranodon was captured by Torchwood 3 and kept as a mascot. (TW: Everything Changes and others)
In an alternate universe, an especially large type of pterosaur was used by the Silurians as a steed. With a 40 foot wingspan, it could easily carry a Silurian. They were used as war steeds in times of battle and would cling to the side of the airships. (NA: Blood Heat)
A zoo on an unnamed planet acquired a pterodactyl or a pterodactyl-like creature. (TVC: The Didus Expedition)