Robotech

 Made in America from three unrelated anime. The first part tells of humanity’s first contact that ends in a war. Rick Hunter is a pilot who gets dragged along with the SDF-1 and joins with them to stop the invaders. Lyn Minmei is a singer who Rick rescues and falls for. Together they try to save the Earth and end the war without fighting, but with love. The second part deals with children of the first, the rebuilding complete; we send the SDF-3 to attack the masters. While it travels out in hyperspace to their worlds, the masters crawl into our solar system.

The Earth must fight a devesting second war for a secret prize. Someone else wants the prize, the Invid. The third part gives us a world controlled by the Invid. The SDF-3 sends a probing force that is destroyed upon exiting hyperspace. A single survivor remains, a man taught to fight, with the will to free Earth. He forms a resistance with the goal of destroying the Invid hive at Reflux Point, aka New York.