Well, calling it foreign music implies that it's not in your native language, which says a lot about why you listen to it. I listen to foreign music all the time. The only English songs I listen to are rock or metal, like Metallica, Korn, Queen, Black Sabbath... the classics. I listened to a lot of JPop and still do. The only rap I like is JRap, although there are a couple rap songs I still listen to from the good old days. JPop was a gateway genre, since it stemmed from my love of anime. But that was only because the only way I could hear JPop was by watching the credits in anime. So eventually my love of ani-songs progressed to popular music, although I still love Megumi Hayashibara and Kajiura Yuki's ani-songs. I love Rammstein, but even though I try to get into other industrial music, I just can't seem to find one that clicks with me.
I'm not sure how it is with other people, but for me, foreign music is attractive because you can listen to the music with one part of your brain and not get distracted by using more of it. You can focus on the music without the lyrics getting in the way. For example, Lady Gaga. I like some of her songs. I hate her lyrics though. They're stupid. Even great songs, not pop songs, like those of A.L. Webber or Bernstein I feel are better without the lyrics. An instrumental of "Music of the Night" or "Memories" is better than one with someone actually singing it. Sure, there are times when I do like with the lyrics, but part of that may too have to do with who is singing. Sorry, fairies, but I prefer Sinatra's version of "Send In The Clowns" over Streisand's.