I am assuming your friend does not want to get an amp because the amp would either be too expensive, or bulky. For the headphones, I would strongly recommend the AKG K702s, which can be found on Amazon for around $260. They look absolutely kickass, and have extremely high build quality. For about $90, he could up a Fiio E7, which he could use to boost the bass if he decides to. The E7 is close to the same size as my iPod Classic, and all you need is an extra cable running from the iPod to the E7...
I hope this helped.
P.S. If he wants Beats that badly, he could always get some Beats Pros. They were my first true cans (Bose QC15 does not count) and sounded good. For the money, there are so many better options out there...but, still, they aren't too bad.