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

Zebra

pitbull

Cougar

Thoroughbred

Egyptian Mau

Irish setter

Maine Coon

Appaloosa

Manx

Corgi

Margay!

Mustangs

Oncilla (i keep getting the felines xD)

Labrador

lion (its a cat.. technically)

Gypsy Vanner

tiger

Bulldog

Serval

Irish Draught!