I recently went on an expedition for a similar set of all-in-one go-to cans. I've come to realize that they don't exist (at least not in my price range). I currently have 3 pairs of headphones that do different things well. Here's my experience so far, for headphones sub $150 new:
Sony MDR-7506:
Sony MDR-7506 | Sweetwater.com
These headphones are the tightest fit of the phones I've tested, and when listening to music on an iPod, you need to enable the "Treble Reducer" EQ setting to smooth out the highs - these headphones are very bright. In the past, when they were all I had, I would end up getting great-sounding acoustic guitar recordings that only sounded great through these headphones - on every other system, the acoustics were boomy/muddy/lacked high end...
AKG K240 mkii semi-open:
Amazon.com: AKG K240MKII - AKG STUDIO STANDARD SEMI OPEN 55OHM HP: Electronics
These don't hype the bass or high-end... at all. Music sounds almost drab through them with no EQ applied to playback. They are good for placing mics on acoustic guitars for me since the mid-range is somewhat higher than what you expect or ultimately want. As a result, the acoustics I've recorded have translated better to other systems upon system translating playback tests.
Because they are semi-open, you'll experience more bleed into the mics if you have the cans cranked and sensitive mics (for example, I can't use them when recording acoustic with omnis 2 feet from my head - after using them for mic placement, I switch back to the Sonys)
AKG K241 mkii closed-back:
http://www.amazon.com/AKG-K271MKII-...OC28/ref=sr_1_5?ie=UTF8&qid=1328667943&sr=8-5
Despite being closed-back like the Sonys, these phones come the closest to what I expect music to sound like without applying an EQ filter on the iPod. Also decent for listening back when putting together quick test mixes, but I wouldn't use them for mic placement as there is a bit of hype on the lows and highs. They're better for tracking than the other AKGs since they are closed-back, but because they don't clamp to your head as tightly as the Sonys, you may experience just a hairs worth of bleed.
General note, the AKGs in general don't clamp as tightly AND they have a bigger space for your ear inside the cup, so they are more comfortable overall, but even closed-back models will cause a bit of bleed in some scenarios. This is all user experience, your mileage may vary.
Unfortunately, most will tell you not to mix on headphones, and I do agree. If you're travelling and want to work on mixes, they'll do, but be sure to check mixes on multiple systems before finalizing anything.