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

Arabian

Ragdoll

Siberian Husky 

Lynx

Shetland pony 

Korat

Border collie 

Suphalak

Dales pony 

Korat

German shepherd 

Bengal

Belgium Draught horse 

Singapura

Fox terrier 

Sokoke

Welsh cob 

Birman