I'd never tried the Beats or anything too terribly fancy for that matter but I'd personally recommend a pair of Sony MDR V-6s. If you don't mind cheap packaging and a beat up retail box, this place sells them new for as
low as $40 new. I love 'em, think they're some of the best headphones I'd ever heard and so does my mother who uses them almost daily to listen to music on her laptop.
Some people don't like the stock fake leather earpads, making a few comfort and durability complaints so if they feel a bit uncomfortable to you, you might want to replace them with velor earpads from
Beyerdynamic or
Pearstone for about $20 more. A couple people say the change in materials makes them sound a bit more bassy when they're known for a very flat frequency response but others don't really notice any change at all. Only issue other than that is that you may have to put the volume a little higher than you're used to with typical headphones in order to make them shine their best but only a little.
They're one of Sony's old standbys from the 1980s made for professional monitor use. They'd attempted to discontinue them once, in favor of the MDR-v600s but they'd come back by popular demand. Very popular for headphone enthusiasts looking to purchase in the sub $100 range. They're closed headphones if I recall correctly.