Myfanwy

The Torchwood Pteranodon was a pterodactyl which was caught in the Cardiff rift and brought into present-day Cardiff. Jack strong implies that it originated from the distant past of planet Earth but from an alternative timeline in which its kind had never gone extinct. (TW: Meat. It was originally found hunting in the countryside, killing sheep at night, but it was captured and trained by Torchwood 3. (TW: Everything Changes)

The Torchwood Pteranodon came and went from the main base as it pleased, entering through a large opening on the ceiling. It was well trained, being called by a signal from Jack Harkness's wristwatch and only eating food with a certain "barbecue sauce" on it, which Suzie Costello had developed. (torchwood.org.uk, TW: Cyberwoman) The pteranodon was a highly capable predator, being able to seriously wound the partially cyber-converted Lisa Hallett. (TW: Cyberwoman)

Evidently, the pteranodon survived the encounter. (TW: Meat)

Behind the Scenes
The in-universe Torchwood website refers to the creature as a pterodactyl, rather than a pteranodon. Torchwood Declassified mentions that the pteranodon was nicknamed Myfanwy by the cast. Whether this is also true in-universe is unknown.

Technically, it has appeared in every Torchwood episode so far, as a clip of it appears in the series' opening credits.