>>106333938
within that budget:
amaZOG discount on sennheiser HD599SE that happens every few months, pic related
Same site claims amaZOG UK has HD560S (which is superior) at 99 pounds but it doesn't display for me https://www.amazon.co.uk/dp/B08HNFV61M?psc=1
Fidelio X2HR
Hifiman he400 se stealth v2 if you want planar magnetics instead of dynamic membrane headphones. Tho be aware that Hifiman has opinion of being shoddy in build quality/quality control.
You can also consider closed backs like AKG K361, that is like 80 pounds or something.

Also if you want to go even cheap, consider headphones from those brands - Superlux, ISK, JVC. They have some of the cheapest good open and closed backs.