Some of the Kroger’s, Central Markets and Tom Thumbs here have a little British section, too. My mother worked in the Publix deli when I was a boy.
I think Sweet Bay does also if it is still open. I can’t say I have seen one recently.
Publix is, and always has been my market of choice. Can’t beat the customer service and the friendly staff!
P.S. my mom worked for A & P many, many years ago!