What are the more powerful ones? US, UK, France, Korea?, who else? Japan's SDF was still pretty neutered at the time, China didn't have a navy to speak of, I'm not sure how many other countries would have beaten them at the time. Maybe Egypt?
Here's what I got searching country names searching the pennant list from "Janes Fighting Ships 1988-89". It's limited to "major surface ships", and notably doesn't include the USSR due to their policy of regularly changing pennant numbers. I think it's OK for ballpark purposes.