Master Crimzon
Baby Killer
Actually, the whole "JOKA iz a WIMP in fightin'!" delusion gets on my nerves all the time.
I mean, seriously. He regularly gets a few hits in Batman (the world's greatest martial artist) in combat, stuns him with his speed in the Man Who Laughs, for once example, beat the crap out of f*cking Cassandra Cain- an immensely skilled martial artist, defeated Catwoman in physical combat once, fought with Aquaman- a superhuman being- and actually got a few hits in, and, more recently, beat the crap out of Lex Luthor, is called a wimp in H2H?
Oh, and in Joker: The Last Laugh, when fighting Nightwing, the Joker sacrificed an opportunity to shoot Nightwing (and kill him), and instead taunted him mid-combat to kill him. When he actually tried to hit him, the Joker hit him without incredible difficulty.
Though, you are correct that the Joker is often portrayed as a murder with no actual combat skills. So, is the Joker a good fighter? I'd argue that he is a good fighter, but some people can argue that he is a bad fighter, and you can certainly see their point.
And yeah, I loved how TDK showed the Joker as not scared to get into a physical fight with people. The way he owned that cop put a sssssssssmile on my face.