Henry Spencer wrote: And if you think about it, Joffrey is so stupid, he has driven off both The Hound and Barristan Selmy, two of the most formidable opponents in the series. It's not like he'll care, being the idiot that he is, but Tywin Lannister, as brilliant as he is, can only do so much, so if either of them two come knocking, Joffrey is in big trouble.
Thing with Ned is, he's always hated Jaime, but Jaime fought against the "Sandor Clegance" equivalent back in his youth and bested him. He was only known as "The Smiling Knight" but was incredibly powerful, killing unknown numbers of knights on all sides. http://awoiaf.westeros.org/index.php/Smiling_Knight
Bronn really is the dark horse, think back to when he saved Tyrion when they first met, he fought a fully armoured veteran warrior of House Stark with no shield or armour. His opponents always seem to underestimate him.
But he also didn't fight with honor and it was from house Tully