If you go to the website below, then scroll to the bottom of the page, you can hear an mp3 of the Godzilla theme music.
http://www.godzilla.stopklatka.pl/godzilme.htm
Interesting, lots of strings.
Godzilla had music? All I remember is Godzilla's roar and the crunching of tanks under it's feet.
Oh, that's right, the music played as Godzilla KOed Mothra and saved the city.