This is just an excuse to draw myself as all of these :P
Let me know if I'm missing any main types and I'll add them!
The only thing I can think of is the characters that are somewhere between human and furry, there are two main types, the more furry types that have flat, anime like faces and totally human anatomy other than fur, tails, and ears, and the niko kind of characters, humans with animal ears and sometimes markings on their skin and/or tails.
There's also one other I thought of but it's a bit of a reach. Some people with mixed species characters swap the order of the species around. Like if they have a pig dog that's a pig with dog ears and a tail they'll draw the character as like, a dog with a curly tail and pig snout. You could draw yours as more of a bird and less of a fox, if that makes sense. I don't know that this style has a name, it might be a lexical gap.
Link
Drei
This is super cute! I haven't seen many multi body types, now that I think of it. :o