Canid and canine generally mean any of the dog-like animals: domestic dogs, wolves, fox, coyotes, dingoes, jackals, wild dogs
Parrot applies to members of the Psittacine family: parrots, macaws, parakeets, cockatiels, cockatoos, parrotlets, lorikeets
Herps and herpetofauna are used to collectively refer to amphibians and reptiles: frogs, salamanders, newts, lizards, turtles, snakes
Bear means all actual bear species but is also often used in reference to pandas and koalas (just don’t say it in front of my scientifically accurate kid)
Waterfowl is ducks, geese, swans
Depending on why or how you’re using categories, you can also group by characteristics: Do they have fur, feathers, or scales Do they lay eggs or give birth Are they predator or prey Do they eat meat, plants, fruit, pollen, or some combination
Being a cat is such hard work, we humans will never understand