Goldfish were a species of fish native to Earth; they were renowned for their short memory. The First Doctor stated he wasn't a goldfish when it was suggested he had forgotten the events of a mere moment ago. (TV: The Romans)
The prison ship containing a Minotaur had a goldfish bowl. The Eleventh Doctor tried to save the goldfish from the Minotaur when it was attacking. Gibbis ate the goldfish later. (TV: The God Complex)
The Doctor stormed into the TARDIS with a bowl containing a goldfish when Amy answered the phone. He pushed the bowl into Amy's hands and snatched the phone from her. He assured the Prince that his mother was safe aboard the TARDIS. Shortly thereafter, he realised he had the wrong fish. (TV: Night and the Doctor: Bad Night)
Dougal Dunnock had a pet goldfish, which he tried to breed with Mervin the Missing Link. (PROSE:The Last Dodo)
The Sixth Doctor compared the people trapped in Robert Knox's time loop to goldfish in a bowl. (AUDIO: Medicinal Purposes)
Behind the scenes
According to the invalid source Torchwood website, when working for Torchwood Three, Suzie Costello began buying goldfish in bulk and killing them to test out the resurrection gauntlet.
