Truth be told, I haven't reviewed a bone-conduction headphone for several years. The reason for that was the early models I tested from AfterShokz sounded so bad it was hard to recommend them to anyone.
The AfterShokz Trekz Air is a slimmed down bone-conduction headphone that offers improved sound and is very comfortable to wear, leaving your ears open to hear the outside world; It works well as a headset for making cell-phone call and comes with a nice carrying pouch
While the sound quality is improved; it's still not as good as what you'd get from a comparably priced "traditional" headphone