Significant as Midway was in the course of WWII, it was the Battle of Coral Sea (IIRC) which established the pre-eminence of the aircraft carrier. It was, I believe the first naval engagement in history in which enemy surface vessels never came in sight of each other. Midway followed shortly thereafter, but in the big picture, was as much a victory of naval intelligence as it was the carrier forces that dealt the death blows.
I’ve always considered Coral Sea and Midway as almost one battle with a one month pause. Both were part of a response to one overall campaign by Japan consisting of diversionary attacks in New Guinea and the Aleutians followed by the main attack on Midway.