3-d sounding headphones.....

If I understand your question, there are two factors coming into play. First is the recording. Binaural recordings may help the imaging, or other recordings where the microphones were set up specifically for headphone or earphone playback. The other factor, for ordinary stereo recordings, concerns the geometry of headphones and where the sound is coming from, that is, the drivers are directly aiming into the ear from the sides. There might be some headphones out there that address this by putting the drivers in front of the ears, but I'm not aware of any, and they'd probably be very bulky. Until you get the sound coming from the front (or a recording made to replicate the how your ears pickup sound from the sides), you're going to have headphone imaging.

Ultrasones are incredible in this regard.

I don't know what you mean by dimension. If that means depth and width...you're not going to get that with earphones. You will get much better clarity, evenness of sound and lots of drawdroppingly good stuff from earphones, but the naturlness of speakers, and real instruments in real space can not be had. I agree with CKoffend. No one knows as much about headphones as do they. Just reading their website is interesting and factual.

Grado GS1000s have a big, open sound with lots of depth.

I do not know for the $200 budget. If you can ever find a pair of AKG K1000s used, they redefine the headphone experience; but they are more of an ear-speaker set close to your head than really being a headphone.