Western music covers such a wide range of genres, it is almost meaningless to use it. From The Beatles, to Taylor Swift, from Bjørk to the Sex Pistols, from Pink Floyd to the Gap Band, there is too wide a range to lump it all together.

There is music that is sublime, and there is music that is pure excrement. And only YOU can define what fits into each category (we all have different tastes!).

I think your issue seems to revolve about what styles you can find for your PA3X, and there is the main thing. Perhaps telling us WHAT tunes you are trying to play, and getting the Korg users here to help you out with appropriate styles for it is your best bet..?