If you are listening only; i.e., you don't need a boom microphone too *, then I highly recommend the Bose QuietComfort 25 or 35. If you can find any.
Very good noise cancelling headphones. Not huge. They fold up into a compact hard case and run on a single AAA battery. If the battery runs out they still provide some noise reduction, because they go over the whole ear. They are not blue-tooth, (the 35 might be ?), but plug into your device with a wire the old fashioned way - no personal details or data required.
You can use them without the cable as stand-alone noise cancelling 'ear defenders' if you want, e.g. crying baby nearby.
* I did actually buy a specially made boom microphone to fit my 25s, and I used them for commercial airline flying.
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