Being me, I have to add Burma to that list. While it was a sideshow on the operational level; strategically it tied up substantial numbers of some of the best Japanese forces. Furthermore, it was the major land campaign which the allies fought against Japan and the defeats suffered in 1944 were by far the most substantial Japan had suffered to that point. It was far more important than the Phillipines (that Nimitz wanted to avoid if I remember rightly?).
It has been painted as a sideshow, partly because it was and partly in an attempt to downplay the role of Britain in the defeat of Japan. But, that major defeat was a blow to Japan and in particular, to the prestige of the Japanese Army.
Not to mention involving a bridge on the River Kwai.
You are correct; Nimitz knew we did not need to retake the Phillippines. All he needed was a central plain big enough to land heavy bombers allowing him to control a radius of a thousand miles in any direction, that was his criteria. The Phillipines were all about MacArthur and his pride, and shows how much cache he had with the war department that he could ordain his own independent crusade. Costly, unnecessary.
But Taffy Three still is the greatest naval story since Horatio Nelson broke Line of Battle and penetrated the lines of the enemy fleet.