What about giant mech animes? Or are they not the type of weapons you are talking about?
Forget the gun or knife, give me an Eva unit anyday...
From your categories though, I would take the fist fighting. I like the Ranma 1/2, Yu Yu Hakusho type of anime. I enjoy the sword fighting too, like in Jubei-Chan. I just like the personal hand to hand fighting, be it with swords or fists. I usually don't find gun fights to be as entertaining...
DD