When I miss British culture (?!) I go to Kitahama Retro! It’s a pretty accurate British tea room, there are pictures of the Oldest Sweet shop in England in Yorkshire I’ve been to, and some signs for places we know.
The advantages are of course that it has Japanese service! Unlike Betty’s you don’t have to wait an age to get your bill. The food is delicious, and they have a small seasonal range too.
Of course I could always visit Hub the British pub for a pint if I miss home and eat some fish & chips, but it isn’t quite as authentic as I’d like.