Kingdom of Knuffel

Koalotters from avatar

I'll give you a swan.

ooo something gorgeous and warm - a phoenix

a magpie bird

a snake, somehow.

I think a purple starling would be the perfect fit for you

You should have something with a long and sinewy body and trailing feathers. A winged serpent perhaps? But with a head more like an iguana... okay I am definitely making up this creature you should have. It'll take me a few days to finalize it so you have a prototype magical creature made up by a mad scientist equivalent as your companion. Uh. Sorry.

A cameleon. Your avi looks so much like one

You look kind of feline, and they are very aloof, so you need a companion that will either become your lunch or can entertain itself.
Perhaps one of those flying fish from the bathhouse? It can be your lunch and it's a flying fish....

A chameleon. Not a frog, nope a chameleon. :}