The Best Audiophile Earphones headphones and Amp


I do not own a set of earphones (headphones). I have a high end HiFi system and I am interested in possibly adding a high end headphone/headphone amp.

I am looking for advice/information. What is the best audiophile ear (headphone) and dedicated headphone amp on the market today?

I have heard Stax electrostatics are good.
matjet
I'm sure I'm in the minority here, but as time goes by, I'm leaning more and more towards headphone listening. I have a full fledged 2 channel system, but I have to admit that for less money, the enjoyment I get from being immersed in the sound from my headphones surpasses my main system. Of course, the source is still critical (in my case Luxman D-06)...Anyway, I'm enjoying Beyerdynamic flagships which I find quite musical, as opposed to Sennheiser 800 which sounded unnatural, thin, more analytical, but probably more impressive at the same time.
I should also add that you really need to try on the headphones for the fit. How heavy are they? Do they bind or crush your ears? Do you get too hot? The sound from my Stax Omega II and 007II was incredible but I didn't like the fit at all. I currently use Ultrasone Edition 8 headphones. I find I like closed headphones and the sound limiting feature of the design gives me peace of mind regarding damaging my hearing (I also am careful with the volume control on my amp).

I have thought about trying Tesla T1s and the new Ultrasone Edition 10.

For what it's worth, I look for headphone use to isolate myself from the environment and sometimes act as a white noise provider. You may find you are more or less critical of the sonics compared to how you listen to your loudspeaker based system.
If you are still looking at options and not looking at electrostats, I recommend the Ray Samuels Audio B-52 amp with the Sony MDR-R10 headphones. The R10s are arguable the best non-stat phones that were made, but they're only available now on the used market. Ray Samuels voiced the B-52 with Sony R10s.
Quick update. The Stax SR-009 (was codenamed C32) is now in my system and it sings, oh yes does it sing! It's pretentious to say so but I think the competition, regardless of technology, is going to sweat a few bullets to catch up with this one...

Some pics of the unwrapping, an experience in itself: http://www.head-fi.org/forum/thread/531743/new-listening-impressions-of-stax-c32-prototype-and-shipping-sr-009/645#post_7487827
This set-up sound the best to me but my experience with headphones and headphone amps is limited. I'm really enjoying a set of AKG K701 earphones with a Schiit Audio Valhalla tube headphone amp. I know this may be considered budget/entry level but it sounds good to me and I didn't break the bank.