Hah, just shows how out of touch I am. Has ANC disappeared as a wired earphone feature? I keep meaning to shop for a new all-purpose pair with ANC, duplex audio, and either USB-C input or an adapter for that. But, I keep procrastinating. I don't have any headphones that work with my phone since the analog port disappeared.
I can point to the shelf with my Sony wired ANC ear buds, which I bought years ago specifically for ANC during air travel, in the era when I would use my iPod and later an iPod Nano. The ones I have are the second pair, bought after the first was accidentally left on a plane. I think they were different product generations, a few years apart. These are so old, they are purely stereo headphones. Microphones for duplex audio hadn't become pervasive yet.
These stick in my ear with little silicon flanges and have a part that sits outside with the microphone. Then there is a small control module sitting at the junction of left and right ear wires, which holds a AAA battery and has a power switch and a pass-through audio button (which always seemed more gimmick than utility to me). In their active mode, they also don't demand much of the source device.