Krug
Newshound
Well Paris is supposed to have killed Achilles with a bow and arrow, though with some divine aid.
http://www.pantheon.org/articles/p/paris.html
http://www.pantheon.org/articles/p/paris.html
While Achilles and his allies bring Hector's body back into Troy for a funeral, Paris take a bow and arrows and shoots it at Achilles. Apollo guides his arrow so that it hits Achilles's foot, in the famous Achilles tendon. Achilles dies. Paris is soon killed afterwards in the war.