This is a fun one to write about. Kirk revels in personal combat. His brand of double-fisted, drop-kicking and Judo-throwing martial arts is legendary. It may seem a little cheesy, but when it comes down to it, hes a bare-fisted, bloody-knuckled street brawler. Thats something to admire. Kirk has tackled horned apes, giant humanoid lizards, Klingons, and super-strong robots. Most importantly to note about all of these encounters is that Kirk has come out on top. If you think about Picards combat encounters hes been assimilated by the Borg, captured, tortured and interrogated by Cardassians (but give him his due he didnt break) and, in his youth, been stabbed through the heart by Naussicans. You know, Picard hasnt done so great. The best example of what Picard can do when pressed is seen in Star Trek: First Contact. Picard has to defend the Enterprise from the Borg, man to man. Picard isnt a light-weight when it comes to personal combat, but when the spirit is willing, sometimes the flesh is weak. Between the two of them, the safe bet is on Kirk.