Directory Critic

V-Moda Crossfade 2 W/BoomPro Mic: The Audiophile's Gaming Headset
Although the ANC function isn't as powerful as Bose QC20 the PT 220 is still one of the very best wireless readily available.

Phiaton BT 220 NC Bluetooth 4.0 Active Noise Cancelling, The ANC function works just fine with the battery life as much as 16 hours directly. 100 you can get a good set of ANC over the headphones if it is fine for you to wear the huge earcups and headband in your mind, or place them rest in your own neck.

These budget-friendly wireless headphones contain Bluetooth 5.