If "near" is a contraction of the word "nearly" then the correct term is a "near hit" as in "the aircraft nearly hit the other aircraft". If it is a description of proximity then "a near miss" would indicate that "the aircraft was in close proximity when it missed the other aircraft", as opposed to a "far miss", i.e. "it missed us by miles". Or you could just reduce it to a simple binary logic of "it missed" or "it hit" :-)