Sony have a few decent wireless ones under £100 - I've got some MDR-ZX770BN that are about 7 or 8 years old now. I think WH-CH720N is about the current equivalent of them.
I've had good results with JBL earbuds too - the Reflect series have done a solid job while I'm cycling.
In the cheaper price point, IEMs are probably the way to go for noise isolation. If you can get ear tips with a good seal, then the passive noise isolation should be good enough. I'd recommend something like the kz zsn pro ($20) or the kiwiears cadenza ($30), along with comply foam tips ($15) for a perfect seal into your ear. If you have smaller ears like me, then kz IEMs can be a bit uncomfortable, so keep that in mind. If your budget stretches further, then you can try Etymotic ER2SE IEMs ($100), which have triple flange tips that really plug your ears deep, but I definitely don't find them comfy enough for long sessions.
If your device doesn't have a headphone jack, an Apple USB C dongle (~$10) is plenty good enough for any IEMs, or you could get a Bluetooth DAC from Fiio starting at around $40 (for the longest time I had one doing double duty for my headphones and for Bluetooth audio in my car).
Also buy used, I just got a pair of WH-1000XM3s that still have the original case for $100. The ANC is so much better than any new $100 headphones and the battery life is still great.
I'm sure it's worth the money if you have plenty to spare, but somehow I suspect that OP isn't just trying to be thrifty, and your advice is about as helpful as telling them to just walk on water.
I’m a big fan of SoundCore products. I’m currently using the Space Q45 which replaced my pair of Life Q30s which I used the hell out of. IMO the Life Q30s have slightly richer sound quality despite being quite a bit cheaper than the Q45s, but all of their over ear headphone are super super comfortable and have good noise cancellation.
Thank you for pointing out that the Soundcore over-ear headphones are good. I've wanted to try this brand again because of the price point.
I've tried two different versions of the Soundcore in-ear noise cancelling buds and none of them did anything remarkable, IMO. I always went back to my Bose over-ear NC headphones.
I wonder if that's just a consequence of earplugs not being as good as earmuffs in general, though.