This Doctor Who screencap contains
filzhut, homburg, stetson, trilby, fedora, stetson trilby, snap randhut, schnappen sie randhut, snap krempe hut, boater, leghorn, panama, panamahut, seemann, skimmer, hut stroh, bootsfahrer, bein, strohhut, livorno, and panama-hut.
There might also be
kavalier hut, schlapphut, slouch hut, and kavalier hut schlapphut.