First off, I doubt any active noise reduction (ANR) is going to beat out good passive noise reduction (PNR) in-ear plugs ("stoppers"). ANR headphones will be more comfortable than PNR and may provide better overall noise reduction for part of the audio spectrum, but not for all of it. If you really need a replacement for a good set of in-ear plugs, you might end up disappointed.
My recommendation are Bose headphones. I've owned a few of their ANR products* and have used a few competitor products, though not at the consumer level.
I can recommend the Bose QC15 headphones but they are discontinued (but still available) and the current model is the QC25 headphone. They have
- great ANR qualities
- comfortable to wear all day
- no microphone
- are the around-the-ear variant of the headphones that completely cover the ear
- headphone audio is great
- ear pads rotate up-down and side-to-side (to the point they can lay flat)
- the headphone cord is detachable so they can be just noise cancelling with no audio
They are not rechargeable, but (the QC15) takes a single AAA battery and you can use rechargeable in it.
* I have extensive experience with the Bose QC2, Bose QC15, Bose X, Lightspeed Sierra, and Lightspeed Zulu. The first two are the same headsets in subsequent produce cycles and the QC25 is the next iteration of those headphones. I don't have direct experience with the QC25, but I don't have any reason to doubt it. I can attest to the QC15 being a great product. The last 3 headsets listed are aviation ANR headsets which I have used in high-noise environments (slow twin propeller and fast twin turbojet airplanes). I'd be happy wearing the QC15 in those environments and they perform well against those $500-$1000 aviation headsets.