Answer:
I am an animal named after the animal that I eat.
What does a cat have that no other animal has?
It can be white or blue or black, Humped or have a horn. And when it talks it sings its menuets, as it's travelling the depths.
The homes of tiny creatures that collect in corners if you aren't vigilant about dusting.
I have a powerful bite and live in rivers and swamps. People are often afraid of my big jaws. What am I?
They are many and one, they wave and they drum, Used to cover a state, they go with you everywhere.