Try a pair of Beats, then try AKG, Sennheiser, or Yamaha in the same price range. A whole new world awaits you.
I've gotta say, however, that I have a pair of Apple pods stuck in my lugs as I write this. They punch way above their weight.
Ive done this comparison, with really well designed balanced headphones against Beats, and I was careful to compare all the genres in my iTunes library. Stuff from companies like Harmon Kardon and Sennheiser is a clear standout when listening to classical, accoustic, and about half the soundtracks I have. Beats was much better for electronic music, such as hip hop and dub step, and soundtracks (such as some from Hans Zimmer and the Tron: Legacy soundtrack from Daft Punk) that used a lot of electronic sounds. The Kardons especially were far too weak in the lower registers for the electronic music.
The point is, it depends on what kind of music youve got in your library. You probably enjoy a lot of jazz, acoustic, maybe some classic rock, and classical. Your taste in headphones would seem to indicate that, anyways. People who buy Beats are much more likely to listen to rap and hip hop, or other bass heavy music, and the Beats are better suited for that, I think.
Personally, Ive got some of all of the above in my library, and weirdly the best headphones Ive been able to find to balance heavy, heavy bass with a balanced sound on acoustic music are Nakamichis. The build quality is really sketchy, but the drivers are solid. Nowhere near as balanced as a set of Sennheiser cans, and not quite as strong down low as the Beats, but a good balance between the two. And the fact that they were $15 didnt hurt, either. And the Earpods are my go-to buds. Theyre really pretty versatile, and hey, they came with my phone. Ill take it.