This The Mentalist screencap contains
boater, leghorn, panama, panama hat, sailor, skimmer, straw hat, snap brim hat, fedora, felt hat, homburg, stetson, and trilby.
There might also be
dress hat, high hat, opera hat, silk hat, stovepipe, top hat, topper, beaver, pith hat, pith helmet, sun helmet, topee, and topi.