That's what he was asking for. I've frequently heard this and I believe it to be true but as a non-audiophile how do I identify a pair of $70 headphones that are as good as Beats' $200 ones.
With better headphones, you will hear more detail in the sound. Words which sounded mushed together in the Beats will be distinct in better headphones. The mids and highs will come through much more clearly. Music will just sound better.
Beats have decent bass, but they're hardly the only ones with good bass out there, and many which have good bass are also capable of sounding better in the rest of the frequencies as well.
Many of the beast headphones aren't consumer products and aren't sold in mainstream retail outlets. I love my Sennheiser HD380s but I know about them because I'm an amateur engineer and they're great for live monitoring.
Really, just look at Sennheiser, AT, Shure, Koss, Grado, Beyerdynamic, ... Anything mainstream that's not Beats or Bose is probably worth looking into.
[1] https://news.ycombinator.com/item?id=7685327 [2] https://news.ycombinator.com/item?id=7658103