This Lee Min Ho foto contains
filzhut, homburg, stetson, trilby, fedora, and stetson trilby.
There might also be
porkpie, porkpie hut, boater, leghorn, panama, panamahut, seemann, skimmer, hut stroh, bootsfahrer, bein, strohhut, livorno, panama-hut, snap randhut, schnappen sie randhut, and snap krempe hut.