Please help me find a warm coat/jacket

[Toddlerone]

Colour black, very warm, fitted with belt, not puffa-type thing, short but long enough to cover arse, a little waterproof, stylish and no more than £150.

Am I asking for the impossible?

Not sure if it's stylish but check this. I bought a coat from them and it is really good quality (similar but without the hood and much cheaper).

Are you totally anti puffa?