I have the Sony WH-1000XM3 wireless headphones. Been wearing it everyday, almost all day for the past year and a half. Super comfy, never had more comfortable headphones. Noise cancelling great as well, keeps everything out, except my sausage dog's occasional bark (but it's a good thing, cause usually that means I need to go make sure everything is fine and locked properly, cause Africa innit.)
I recently bought my dad the Audio-Technica ATH-ANC700BT for Father's day and he's super happy with it.
I tried it on myself a few weeks ago for about an hour and for comparison:
Sound is pretty much on par with my Sony's,
Sony headphones is probably a touch more comfortable, but I'll still be able to wear it for hours. (but this is bias, cause I'm more used to my Sony headphones)
Sony wins noise cancelling. I could still hear (although vaguely) the neighbours lawnmower with AT.
AT is a lot lighter on your head (which might be a good thing), but at the same time I think build quality is more 'plastic' (which might not be a good thing).
Battery life is good with both.
Both comes with Aux cable as well, so can plug it into any device, or just use bluetooth.
They are both Japanese, so it should be durable and last a long time.
Edit: Sorry, I didn't see the budget that OP wrote...
But seriously, if you can save up a little and go over that budget even by just 1k, you'll have much more, better quality options for over-ear headphones. It's a lesson I've learnt with way too many cheap crappy headphones I've bought in the past.
