We have covered plenty of awesome headphones here in the past. You are going to need a decent pair to get the most out of your music experience. The Philips M2L/27 Fidelio Headphones are not your average pair. They feature a Lighting connector and are optimized for iOS devices. They are acoustically sealed to keep the noise out.
The Philips Fidelio M2L has an integrated DAC and AMP to provide you with a high quality sound. Its 40mm neodymium drivers, Bass Reflex system, and acoustically sealed design only add to your experience. Sets you back under $400 at this time.[where to get it]