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

Kiger mustang

siberian tiger

French Bulldog 

Not me completely forgetting how this game works like three posts in a row xD

Fishing cat

Quarter Horse

Puma

Dalmatian

Bobcat

Cleveland Bay

Lynx

Anatolian Shepherd

Manx

Przewalksi

Persian

Bloodhound

British Shorthair

Bashkir curly

Bombay

Viszla

abyssinian