Episode One: Liminal Animals

People repeatedly encounter creatures that are inarguably real animals, but appearing mysteriously in places where they cannot reasonably exist- a different kind of cryptid.  Interestingly, those investigating eastern panthers in the U.S. and Alien Big Cats in the U.K. experience the same official resistance and disappearing evidence.  Do all of these beasts exist, along with Nessie and Bigfoot, in a grey area between real and unreal?