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. 

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Sony’s flagship Sony WH-1000XM4 is the successor to the WH-1000XM3 and brings support for multi-device pairing, surprisingly effective DSEE Extreme audio upscaling and auto on/off. However, the primary reason to pick these headphones is of course the exceptional noise cancellation. Mcdvoice

The Sony WH-1000XM4 is regarded as the best noise-canceling wireless headset on the market. The Sony WH-1000XM4 features the greatest Bass system, and it also retains both performance and appearance.
These are a cordless pair of headphones with a built-in Bluetooth capability. These headphones are more reliable because they do not have tangled wires. The Sony WH-1000XM4 is worth purchasing because to its small weight.