I work in an office that has a noisy neighbor. What are the best
headphones to wear to block out the noise, as well as listen to music?

Should these be headphones? 

Or the "in-ear" models that are so popular?

I've tried out the Bose headphones with the white noise feature and
they don't block noise from another room very efficiently.

I'm interested to know which are better--headphones or in-ear--at
blocking noise. And I'm also interested in the best models for
whichever category is the best at blocking noise.

Thanks!

Hi
I have tried some noise cancelling headphones and have not been
particularly impressed. They are better in some circumstances than
others, e.g. relatively constant and lower level background noise.
I have found the isolating in-ear type far preferable. They have both
a far superior noise isolation, and for the ones I have tried, better
musical reproduction. The main disadvantage is that some people find
them uncomfortable to wear. This has not been my experience and some
companies offer individually moulded ear pieces.

There is a selection of in ear isolating phones here including some
information and specifications across a range of prices.
http://www.headphone.com/products/headphones/in-ear-monitor/

I have the most personal experience with the Shure products which are
often used professionally for in ear monitoring and would recommend
the E2c to all but very critical listeners as probably the best
compromise of price, isolation and reproduction quality, especially
for popular music.
As with all such items where personal preference plays such an
important part it is advisable to try a range of options yourself
before purchase to ensure the item fits your particular set of
preferences.
To give you an idea of my prejudices I have been a listener to and
collector of a wide range of musical styles for many years, and have
qualifications in audio engineering and sound production. My preferred
everyday headphone is the Sennheiser HD-580.
Hope this may be of some help.

First, go to the source.  Talk to the people making the noise and see
if there is some way they can alleviate it.  All it may take is some
sound proofing, pad underneath a machine etc.  Try sound proofing your
room too?  Maybe the landlord would be willing to do something.  If
the noise if bothering you it probably is bothering others too.  This
could be a nuisance and violate the terms of your lease (and their
lease too).  I'd go this route first.

I assume that you tried the Bose Quietcomfort headphones and are
dissatisfied with it?. If so, you may be hard-pressed to find the
perfect headphones or earphones as it is unlikely that there is one
that completely blocks out *all* sound from outside sources. Even
noise-cancelling earmuffs don't block out all sound. Since sound is
caused by vibration, and if a low sound that causes vibration happens
nearby, like an explosion, you can hear part of it as well as feel it.
I'd agree with Daniel2d in his suggestion to resolve the source of
noise.

Perhaps this Cnet review may help a bit:
http://reviews.cnet.com/4520-3000_7-1017728-1.html

I agree with hardtofindbooks-ga and would like to add the following:

Large ear--surrounding headphones are heavy, wide, and make ears sweat.

Most noise cancelling headphones either only cancel low frequencies
because they are cheap (while most energy, nuissance, and generation
occurs at high frequencies)

Most good noise cancelling headphones that are not advertised for
airplane use will allow speech-range noise for safety purposes.

I myself have gone thru a couple of cheap noise--cancelling
headphones. Then I just got to etymotic.com and bought their
noise--blocking headphones. The company primarily manufactures
professional noise--blocking headphone, so I would expect the best
performance. I think the price is about $100, but I did not found them
to be uncomfortable. To give an idea, you can listen to music with a
professional vacuum cleaner by turning the volume just slightly above
normal. Just make sure your boss does not try to call you from your
back. Most of the time you will not hear anything.