I remember the Red Dwarf where a time travel machine turned Rimmer's budgie into its ancestral Tyrannosaur
My thoughts exactly!! Mind you did they ever have an episode where something was not chasing them? Oooooops! forgot to include the link in the OP http://www.abc.net.au/news/2015-05-22/the-top-10-new-species-of-animals-for-2015/6490898