Ridley: fire skink (Lepidothyris fernandi)
Bowser: painted wood turtle (Rhinoclemmys pulcherrima)
K Rool: Philippine crocodile (Crocodylus mindorensis)
Ganon: red river hog (Potamochoerus porcus)
Banjo: spectacled bear (Tremarctos ornatus)
kazooie: hoatzin (Opisthocomus hoazin)
spyro: rainbow agama (Agama agama)
sparx: rainbow bluet (Enallagma antennatum)
fox mccloud: Rüppell's fox (Vulpes rueppellii)
falco lombardi: american kestrel (Falco sparverius)
donkey kong: mandrill (Mandrillus sphinx)
conker: Indian giant squirrel (Ratufa indica)
sly cooper: white nosed coati (Nasua narica)
gex: dune gecko (Stenodactylus petrii)
crash bandicoot: numbat (Myrmecobius fasciatus)
ty: tiger quoll (Dasyurus maculatus)
ratchet: Andean mountain cat (Leopardus jacobita)
daxter: marbled polecat (Vormela peregusna)
sonic: desert hedgehog (Paraechinus aethiopicus)

I didn't draw blank because:
Croc because of K Rool
Bubsy because there's like four lynx and they all look like him
Yooka or Laylee because that's a fan game tbh