Species

Matsya - fish, the first class of vertebrates; evolved in water
Kurma - amphibious (living in both water and land; but not to confuse with the vertebrate class amphibians)
Varaha - wild land animal
Narasimha - beings that are half-animal and half-human (indicative of emergence of human thoughts and intelligence in powerful wild nature)
Vamana - short, premature human beings - Deer
Parasurama - early humans living in forests and using weapons - Cow 
Rama - humans living in community, beginning of civil society - Monkey
Krishna - humans practicing animal husbandry, politically advanced societies - Peacock
Buddha - humans finding enlightenment - Swan
Kalki - advanced humans with great powers of destruction. - Horse

https://en.wikipedia.org/wiki/Species
https://www.speciesonthebrink.org/
https://freeglobaluniversity.blogspot.com/search/label/FatherMotherSpecies