This Sophia Loren photo contains
fur coat, fur collar, fur accent, fedora, felt hat, homburg, stetson, trilby, boater, leghorn, panama, panama hat, sailor, skimmer, and straw hat.
There might also be
dress hat, high hat, opera hat, silk hat, stovepipe, top hat, topper, beaver, beaver, castor, porkpie, and porkpie hat.