This Doctor Who screencap contains
fedora, chapeau de feutre, homburg, stetson, trilby, hombourg, chapeau de feutre trilby, plaisancier, leghorn, panama, marin, skimmer, chapeau de paille, barbeau, chapeau, écumoire, paille, canotier, livourne, chapeau panama, and sailor.
There might also be
concert, campagne chapeau, and chapeau de campagne.
I've been watching a lot of "Doctor Who" lately and saw "The Dark Knight" a few times, and it seemed like The Doctor probably wouldn't put up with Batman for too long, and the Joker even less.