This doktor na screencap contains
Fedora, nadama sumbrero, Homburg, Stetson, and trilby.
There might also be
boater, leghorn, panama, panama sumbrero, mandaragat, espumadera, dayami sumbrero, porkpie, porkpie sumbrero, and hat campaign.
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.