Looking for a very, very cozy, nice designed hat for winter using a look of Mohair/sweater thick type yarn.
I looked on the internet, but they are more like ski hats, but I want a very, cozy one. Any suggestions?
I’m not sure what you mean by cozy. Do you want earflaps? What is it about the ski-type hats that’s not cozy? It will help us to know what you want with a little more info. 
I guess cozy in what I mean that is not cotton or stiff. I want a look of like a thick yarn sweater.
Kinda like this look but with more design and fluff http://cache.lionbrand.com/stores/lionbrand/pictures/cctq-hatscarfa.jpg
Something like this with more fluff though?
But nothing like beanies. Thanks for the help
Well, you can make any hat with thicker yarn of any type. It’s a matter of gauge. As for style… have you looked at all these hats?
Knitting Pattern Central - hats
You might be able to adapt this one.
I know I’ve seen hats like the one you posted. 
Many many thanks!