Goldfish

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. (DW: The Romans)

In Cardiff as part of Torchwood Three, Suzie Costello bought goldfish in bulk and began killing them to test the Resurrection gauntlet. (WEB: torchwood.org.uk)

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, but Gibbis simply ate the goldfish later. (DW: The God Complex)

In Night and the Doctor: Bad Night, 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.