This Edward Cullen's Future Wives photo contains
fedora, felt hat, homburg, stetson, trilby, business suit, 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, porkpie, porkpie hat, beaver, and castor.