What kind of noise is not noise canceling eliminates headphones?

I know that noise-canceling headphones eliminate the noise of aircraft and continuous noise may disturb other music, but is that all you do? I really do not want to drain the aircraft noise, but I really just take people around me and the noise they make, so do not have to keep the helmet in the extremely dangerous for my ears. For example, they tend to listen to music is very quiet in my helmet (a capella music), compared to the wave I hear. My family and radio in the car, can not drain my helmet without turning the path, which leads to yelling. I have the intention being a great musician, so I know all about the music without distractions. Thanks!

Earmuffs take off frequencies around and play opposite spectrum, which annulled the vague. For all practical purposes, essentially to remove all outside noise, as high-quality headphones.

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