There are some pretty simple things you can do to be sure you're going to optimize the sound of your headphones, regardless of the type of sound you favor.
One is dig up the frequency versus impedance curves for headphones you're interested in. I just took a peek at those curves for Beyer 880s, and they're reasonably flat - compared to my Senn 598s, which spike from nominal 50 ohm to 300 ohm at around 100 hz.
Another is to be sure you know the output impedance of the headphone jack on an amp you're thinking about buying. If there's no measurement, given, my advice to most people is not to use the amp with headphones.
There's a great explanation of why picking 1/8 of your cans' nominal impedance (or less) is important for sound quality at
http://nwavguy.blogspot.com/2011/02/headphone-amp-impedance.html If you wind up with an output impedance that's far above that 1/8 recommendation, the odds that tone controls and equalization will work as expected are low, regardless of what you are trying to achieve. And if you have a few different places (and amps) you listen to, if that number is real different between them your cans will also sound real different between them.
I am disappointed neither manufacturers nor reviewers often measure this value - it makes a big difference with 50-100 ohm cans, and particularly with cans that vary in impedance with input frequency. NWavguy has a lot of very good information on matching amplifiers to headphones. that info can be difficult or impossible to find pre-purchase, and I think even professional reviewers are unaware of some of these considerations when they review headphones and headphone amps.
On Headfi I get the feeling that a lot of folks are only comparing headphones to other headphones. I think that's a mistake. I spend more time listening to speakers than to headphones, and I compare my speakers to one another. I'm pretty happy with the way the current sets of speakers are voiced and I want my headphones to be voiced similarly.
What I haven't heard yet and don't expect to is a set of headphones that image as well as the speakers do. I think there are things happening with primary and reflected arrival paths of audio in a room that simply can't be replicated with headphones. There might be a DSP approach to mimic some of that, but I'm afraid it would mostly sound like the "which bathroom size?" choice the various 'concert hall' effects built into an AVR offer.
The one piece of 'how my taste compares to most reviews on headfi" that's been pretty reliable is that in general, my bias is to click "next" when I'm shopping for an audio component and I hear it being lauded for 'bringing the bass' or similar language. I certainly don't do the reverse - pick components favorably because reviewers say "ooh, nice and no bass at all!" - but I've found that what I'm looking for and what folks who want a lot of bass are looking for are very different. fwiw, my mains are currently Thiel 2.2s and my office system is Gallo CL-1s and a Velodyne FSR-10. My taste tends toward classical, Warren Zevon, Emmylou Harris, Ry Cooder, Mark Knopfler, M.I.A., Neal Young, Richard Thompson.