This was a pretty fun little 2D fighter with good animation. Played it a lot 20 years ago. And you’re right, the soundtrack is good, although it does sound pretty different from the various Gundam series I can think of from that era and earlier. More Mega Man X than Gundam.
8-bit era, but yes. I got the original (and Maniac Mansion) brand new back in the day as gifts from my mom, purchased at ComputerLand. The work they put into what came in the box was amazing, like the newspaper. I never did solve it as a kid, but I went back and finished it as an adult!