Ideally you want noise cancelling headphones for the train, this is better than ramping up the volume to drown out the external noise (and thus save potential hearing damage). I use Bose Quiet Comfort III that are bliss. You can probably get a used set of the older models for under £100 now.
I got these and im very happy with them, i paid €68 and though i got them at a good price, now they are cheaper and a bigger bargain.
https://www.currys.ie/ieen/audio-an...-bluetooth-headphones-black-10155252-pdt.html
I've commuted daily for years with various on ear closed headphones and always come back to the DT1350, they seal out most noise and sound superb.
Runners up
T70P , sound better but worse isolation
HD25 Amperior
Vmoda XS (close 2nd)
ES7
ES10
Daughter#2 travels by train to work (@bout an hour each way). She uses the Bose noise cancelling jobbies and tells me that they do the job. She demoed them against my B&W Wireless P5 which she felt had the edge in SQ over the Bose, but the Bose fitted better. SWMBO did the same comparison, and came to a similar conclusion (she now also has the Bose).
YMMV
She lives in Clapham - and has commented on the “Northern line screech”
Edit: those Sennheisers on Amazon look to be an absolute steal!
Not wireless or noise-cancelling, but currently I use Sennheiser Momentum II, the on-ear type. Being closed back they block out a good chunk of background noise and the slightly bass-heavy perspective sounds just right in public transport environments. Mine were about £50 in some deal a while back and they are not much more than that now (Richer). They do a wireless version, though it is quite a lot more expensive.