I think the easiest way to get into broader music is not to quit, no skipping around, no stopping halfway through, you appreciate music when you give it time to digest in your mind. Before I decide if I don’t like something, I make sure I’ve listened to a minimum of at least 7 songs, either in one full sitting or mixed into my usual stuff, one shuffled in during every day of the week. That’s for a completely new genre, while more similar stuff I’ll sit down and listen to an album in its entirety before coming to a conclusion.