This The Mentalist screencap contains
fedora, vilten hoed, homburg, cowboyhoed, trilby, fedora met vilten hoed, stetson, schipper, leghorn, panama, hoed, zeeman, skimmer, strooien hoed, livorno, panama hoed, matroos, and stro hoed.
There might also be
porkpie, porkpie hat, and porkpie hoed.