For example, a fish is an outdoor animal, but its tank is rarely kept outside. If raised as a pet, it is much more common to find a fish living indoors. On the other hand, a chicken is a pet that is usually kept outdoors. Which Pets Can Survive Outdoors? Fish; Cats ; Snakes; Lizards; Birds; Rabbits; Rodents; Chinchillas; Chicken; Insects; Turtles