Animals

Laritte and Ian have a cat together--they're cat parents

Jaina has 3 pet monsters

Vasser has Little Monster (he's like a puppy)

Hari is in the form of a dog (reincarnated), but she'll probably be able to transform into a human later on. I hope she'll be able to shapeshift back and forth.

Lots of animals. Luna has a brother (he's a divine wolf).

Reinelle can shapeshift between a crow and human-form

Kago can shapeshift into a divine lion

Lots of animals (mainly black leopards, but the FL is also in her rabbit form for a long time in the story), and everyone else is werebeasts (e.g., wererabbits, wereleopards, werewolves, werecapybaras, etc)

Some characters can take human form, but ARE actually animals, and the ML is half-human/half-wolf.

Nekoyama is a cat that can take human form, and there are other characters who are animals and can take human form as well.