Question: noise cancelling headphones that are both wired and wireless?
Answer: Sony WH-1000XM4. The best noise-cancelling headphones have a new winner. ... 
Sony WH-1000XM3. A close second-best. ... 
Bose Noise Cancelling Headphones 700. Class-leading noise cancellation, but not the best battery life. ... 
Bose QuietComfort 35 II. ... 
Sony WF-1000XM3 True Wireless Earbuds. ... 
Shure AONIC 50. ... 
Jabra Elite 85H. ... 
Apple AirPods Pro.