The only thing that represents literal and accurate Christian theology is singularly the Bible. The end.
That being said, if you're going to judge which music qualifies as anointed soley off of the premise of how closely it parrots Bible verses, then all lyrics that don't quote the Bible verbatim are literally inaccurate. Why stop with music, though. Nearly everything else in the entire world doesn't quote the Bible including books, movies, tv shows, school, sports, the government, clothing brands, advertisements, even the church itself many times and the list never ends. Every idle world is not Biblical.
I think we are in the world and though we are not conforming this world, the implication isn't that we bury our heads in the sand and try to ignore everything. God created this world for us to enjoy and He created us to love one another and live in peace.
So I think that it's a matter of personal conscience what music you want to listen to. Don't let people convince you that you're on a path to hell because you're listening to Hillsong. Amazing.