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Now, I'm all for chivalry and that, but the Samurai (or Bushi warrior, as they should be called) would make a Knight wish he was never born.

The Bushi code of Life indicates, clearly and with NO misunderstanding, the correct ways for a proper warrior to live and die by. Everything from marital advice, what games to play to keep yourself sharp, advice on swordsmiths and bargaining deals, respecting elders, tea preparation, and costume (armor) donning rituals.

Plus, they were trained from a much earlier age, as with the Spartans (which i am doing a final paper on).
I believe that those two would make a much more even match.

Samurai and knights both had a lifetime of training, so the fight is really a contest of equipment and circumstance.

I would like to note that samurai were originally horse archers, as has been previosly mentioned. A samurai could easily shoot a knight dead from range, as the Japanese longbow was an incredibly lethal weapon, easily able to penetrate armor.

In melee, however, the knight has a clear advantage in that his armor is incredibly tough and his shield is a great advantage. Plus, although the katana is not weak, it cannot compare to a broadsword in terms of durability.

A samurai could easily cut a knight's head off if the samurai where he on horseback and the knight on foot, however. This is a matter of a katana is lightweight and easy to use for quick strikes, allowing a horse man to ride around chopping people to pieces. The same cannot be said for a broadsword, which requires a knight to stop his horse and chop downward to score a suffeciently lethal hit. If both were on horseback the katana's speed would prove lethal to the knight.

Basically, the circumstances of such a fight would have a huge effect on the outcome.