Best high-end headphones with noice cancellation ...

Looking at getting new high-end headphones for both home and travelling (with noice cancellation) ... Could be both in-ear or over-ear ... 
Have been looking around, but would like other opinions as well  ... What are your suggestions?

Have looked at B&W, Jabra, etc. 

I asked a similar question a few years ago and was convinced by the responses that instead of looking for headphones with active noise cancellation (ANC) that sounded better than my Bose over-ear I was looking to upgrade from that I’d be better off with the passive noise cancellation from a good set of IEMs. IEMs will be much smaller for your carry-on or to tote around town and Shure (for example) advertise 46dB reduction in outside noise levels.
The noise reduction is definitely different from ANC in that it is across the spectrum and all frequencies with good IEMs as opposed to ANC that often works best only with constant background noise (like airplane engines or the lawnmower) but works less for sudden sounds that aren’t constant which instead sound muffled/wrong but definitely get through. 
I ended up with a pair from Campfire Audio and love them, but there are lots of IEMs that will blow away the best ANC headphones for sound quality at the same price. 
If you’re committed to ANC, the Sennheiser Momentum True Wireless 2 are often said to be the best of the ANC IEMs for sound quality if the small and travel-friendly form factor of in-ear is important...haven’t heard them myself.
Actually, this would be my first ANC - in case I go for that - I am used B&W P7 wired without ANC 
I’m not a huge Sony fan, but I have to say at around the $300 price level I’d go with the Sony WH-1000XM4 for it’s all-around solid performance. That said, I just bought my wife a pair of Sennheiser PXC 550-ll for $200 for Christmas that seem pretty comparable but not quite as good noise cancelling as the Sony. I’ll report back on sound quality when I get to hear them. Won’t buy Bose. Hope this helps, and best of luck.

One last thought I’m not quite sure about, but the Senns offer a wired connection that allows for lossless quality, and if you can stick a DAC or DAC/Amp in there (like an Audioquest Dragonfly Red) so much the better.  This would push me toward the PXC 550-ll for the potentially higher sound quality if it’s valid. 
Yeah, also looked at the Sennheiser ... was told thought that the sound is quite metalic ...