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