Game of Thrones: Battle Royale

Now that the season is over, I thought it would be fun to have a discussion on who would win different battles.  Here is the list of combatants:

-Jaime Lannister
-Ned Stark
-Robert Baratheon
-Rhaegar Targaryen
-Gregor Clegane
-Sandor Clegane
-Brienne of Tarth
-Khal Drogo
-Daario Naharis
-Barristan Selmy
-Arthur Dayne
-Areo Hotah
-Gerold Dayne
-Syrio Forel
-Oberyn Martell
-Loras Tyrell
-Stannis Baratheon
-Jon Connington
-Jorah Mormont
-Ilyn Payne

That seems like enough people.  I know what some of you are probably thinking and yes, I realize some of those people are dead.  Think of each character at their peak.  When I say Robert Baratheon, I mean the young Robert who won at the Trident.  Jaime Lannister has two hands in this discussion and so on.

Of these folks, who is the greatest warrior?  Who would win if there was a fight to the death?  Feel free to put your reasoning into the comments.

Who is the greatest warrior?
Jaime Lannister
Ned Stark
Robert Baratheon
Rhaegar Targaryen
Gregor Clegane
Sandor Clegane
Brienne of Tarth
Khal Drogo
Daario Naharis
Barristan Selmy
Arthur Dayne
Areo Hotah
Gerold Dayne
Syrio Forel
Oberyn Martell
Loras Tyrell
Stannis Baratheon
Jon Connington
Jorah Mormont
Ilyn Payne

Poll Maker