It's not the style, the plots, the characters, the world or the battle system.
It's the character themes. They'd hit at just the right moment and it would rock so hard.
Here is a couple good ones. It may be hard to understand the context. I seriously suggest playing the games the music comes from to see how it really meshes together. These are chrono Trigger and Final Fantasy VI related
Of course twas the days of 16 bit, So they didn't really sound quite like this:
but more like this:
They really had the music down.
I think this is kind of missing from western RPGs. I can't really think of one with defined themes for the characters. It would be really cool. Especially since they can do cool stuff with the characters themselves.
When someone bursts in, says something awesome or even charges off, they should have a theme, and that theme should be blaring.