#11- Victarion Greyjoy. I actually had him listed in the Top 10, but he didn't survive the final cut-down to 10. He is certainly the most deadly warrior of the Iron Islands. One can easily make the case of Victarion being somewhere between #6 and 10 in the Top Ten. Every time I've read the series I've gotten the feeling that there are not to many people that would want to cross swords with him. He is surprisingly a thinking warrior and not a hulking brute like The Mountain calm off the battlefield and deadly on it.
#12- Ser Garlan Tyrell- Unfortunately I can't place him higher. He is widely acknowledged as one of the finest swordsmen living in the Seven Kingdoms, but we have nothing more to go on. Even his brother, Loras (in talking to Sansa) admits that Garlan is the better swordsman.
#13- Prince Rhaegar Targaryen- Admittedly I had a hard time with him. Prince Rhaegar was apparently a splendid jouster, but when he took the field against Robert on the Trident it was Robert that prevailed; to me looking at this point there is nothing wrong in that combat: Robert in his prime was just that good. Rhaegar represents the unfulfilled promise of many characters in the book (least of all his own) from Cersei, to Lynna Stark to his younger brother Viserys. He is the sum of all of those characters "what might have beens."
The Knight of Flowers- Probably controversial being placed this low, but here's why: if the list was for best jouster and showman then he vaults to the top of the list bar none. But it's not. Loras plays at war and his Grandmother the Queen of Thorns says as much. Despite his bezerk fury at Renly's death Loras can't really be placed higher in my honest opinion. He has flashes of brilliance, but interestingly enough when it comes time to lead in battle he utterly fails a the Siege at Dragonstone.
#15- Qhorin Halfhand- he leads off the "bottle-neck" of northerns on my list. He is probably the best warrior living north of the Neck. Certainly he is the greatest warrior the Black Watch. GRRM loves to parallel characters and stories in the book so it will be interesting to see if Jaime's switch to his opposite hand parallels Qhorin's.
#16- Greatjon Umber- every time I think of Greatjon Umber I get the impression of bezerk fury! At the Red Wedding it takes 8 men to subdue him!
#17- Eddard Stark- Eddard never engages in combat in the series, but he somehow managed to walk out of the Tower of Joy alive one of only two men to do so out of 10 in that epic battle. However, until the details of that fateful encounter are fully known then he's in limbo. He also falls further because GRRM has stated that his brother Brandon was the better warrior.
#19- Jon Snow. Like Robb we get the sense that he is good, but we are never sure just how good, at least not yet... Obviously he has outstanding leadership qualities and if this list were for that alone he would be in the top 10. He leads the Black Watch ably, but he is one of those characters that there is more to come namely in A Dance of Dragons.
#20- Robb Stark. We never get a sense of just how good of a warrior he is with a sword, but it's obvious that he is an outstanding leader on the battlefield, too bad his promise is cut short.