This The Mentalist screencap contains
fedora, chapéu de feltro, homburg, stetson, mole, trilby, feltro, barqueiro, livorno, panamá, marinheiro, skimmer, chapéu de palha, boate, leghorn, chapéu, palha, velejador, and chapéu panamá.
There might also be
porkpie, chapéu porkpie, chapéu de porkpie, porco, and porco chapéu.