Via BT, the sound quality is very much determined by the codec used, as Bluetooth is a lossy transmission method. The best SQ seems to come with the LDAC codec, as in the Sony headphones mentioned by @big_greg. I have a pair of the immediately preceding Sony model and find them good value and good sound, a touch warm perhaps, but very comfortable and enjoyable. I listen to a wide variety of music, like you.
Noise-canceling technology interferes with sound quality, IMO, far less than using less capable BT codecs like aptX. One might even say that NC improves the sound by raising the signal-to-noise ratio. As audiophiles are fond of saying, "It lowers the nose floor." So in the presence of anything from traffic noise to a humming refrigerator, I’d rather listen through NC headphones than far more costly non-NC headphones. Need I say, not everyone agrees.
P.S. Though the Sonys connect using LDAC automatically from an Android device, I am not sure whether LDAC is easy to get using Windows, iOS, OSX, etc.
Good luck!
Noise-canceling technology interferes with sound quality, IMO, far less than using less capable BT codecs like aptX. One might even say that NC improves the sound by raising the signal-to-noise ratio. As audiophiles are fond of saying, "It lowers the nose floor." So in the presence of anything from traffic noise to a humming refrigerator, I’d rather listen through NC headphones than far more costly non-NC headphones. Need I say, not everyone agrees.
P.S. Though the Sonys connect using LDAC automatically from an Android device, I am not sure whether LDAC is easy to get using Windows, iOS, OSX, etc.
Good luck!