So I got this idea from the quiz site, Sporcle. In it, players had to click on an equine, feline, canine, feline. 
For example: zebra, tiger, wolf, persian until the options were used up.

I decided to bring it here, but altered for forum use.

I will name an equine. Player 2 will name a feline. 3 will name a canine and 4 will name a feline. And so on.

Acceptable: breeds, species, mythical (not one you made yourself).

SHIRE

Norwegian Forest Cat

Percheron

Clouded Leopard

Boston Terrier

Cheetah

Shetland Pony

lynx

Doberman (^bless you, Pants, for playing with me. I was getting lonely. xD )

Serval :P

Palomino

lion

English Bulldog

Russian blue

Shetland

puma

greater swiss mountain dog

caracal

Dutch Warmblood

ocelot

Pug