noise cancellation

Hello, I thought it'd be nice to a a summary of the available products and information we have or lack. I didn't mention below headphones that are most certainly not qualified to be the best. If I forgot anything, please mention it. Model (candidates for best) Price (2nd hand) Audio Science...

Hi, I need headphones (or headset) that have an ACTIVE noise cancellation, that works when the earphones are plugged to my computer with an AUX cable, and not with a Bluetooth connection to my phone. Does something like that even exist? Or does the active noise cancellation is possible only with...