JaneJudge I've read Chestnut's list and I am none and do none of those things. I think being British is having pets, dogs & cats specifically, roast dinners, relaxing Sundays, family, reading, art, theatre, comedy, good pubs, antiques, going for walks, reading, good music, festivals, chips on the beach, markets, car boot sales. That is my optimistic list and a non religious white woman.
You do not need to participate in the things on my list, they are just quintessential English things that you will only find in England (apart from cricket).
I don't think your list represents English culture. I'll agree with roast dinners, fish and chips, and traditional pubs, but people read books and listen to music all over the world, also keep pets and do all the other things you mention. English culture has to be things you will only find in England.