Bose doesn't have too much experience in the Headphone field but they have more expertise in the speaker field.
There are lower-profile audio makers who have far more audio experience than Bose overall. Headphones aren't Bose's forte so keep that in mind.
While there are companies that have not been in existence for too long (Ultimate Ears and Etymotic Research), they have been in the forefront of Earphone/Headphone technology and concentrate only on the earphone/headphone segment of audio and with nothing holding either of them away from ear technology, they can enhance the products to ensure better sound reproduction accuracy.
Also audio companies, while they have been making products for musicians for the majority of the time (Shure for example), much of their ear expertise comes from personal monitoring systems.
Grado has mass expertise in the headphone industry and that is why they are praised even by the people who spend so much in the headphone industry that Grado keeps their formula traditional whilst researching on how to improve sound project after project.
Much of Sennheiser's success comes from headphones.
There is a lot to say, but I wouldn't attempt to get a pair of Bose headphones as your first set, your best bet is to get a pair of Etymotic earphones, though. (Altec Lansing IM 616/716 and the Harman-Kardon EP series are fine).