If you’re talking about modern songs, I would guess that Yeshivishe kup is right. However, if you are talking about really old songs, some would say they are better than modern Jewish music (although I personally have no problem with modern Jewish music).
There was a book I read a long time ago (I think it was “The way it was” by Hindy Krohn”). The author talks about how Jewish music had just started being recorded. His mother wouldn’t let him listen to Jewish music and told him that not-Jewish was better (and fine). This was several generations ago, and I’m sure she would not have said the same about today’s music.
Of course, you have to make sure that listening to old (kosher) goyish music doesn’t lead you to start listening to treif goyish music.