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

friesian

ocelot

dingo

tiger

quarter horse

bengal

poodle

lynx

araloosa

russian blue

Dalmatian

Sphynx

Newfoundland Pony

tabby

Harrier

Domestic Shorthair Cat

Przewalski

Cougar

rottweiler

Rag doll