Macross 7

35 years have passed since Lynn Minmay had brought peace between the Zentradi and the humans in the events of Macross. Nekki Basara is a guitarist and a singer of the band Fire Bomber. Living in a less-developed part of the flying colony City 7 which is looking for a habitable planet, he composes and sings songs in the belief that music holds a greater power. During its flight, an unknown alien race appeared and started laying siege upon City 7. However, its attacks are not conventional -- instead of trying to destroy them, they steal what is known as "spiritia", rendering victims unresponsive and zombie-like. During these battles, Basara always goes out into the middle of the warzone, singing his songs and expecting friend and foe to listen and be moved by his music.

Synopsis from Anime News Network