I'm from the South but don't have a very Southern accent, I really, really, really wish I could have it back. I really, really, really hate fake Southern accents.
I used to like the RP-ish English accent, but alas I don't actually hear it anymore. It's now my normal, since this is the accent that I live and work with all the time, I've become accent-deaf to it except for a few words (e.g. grant rhyming more but not exactly with taunt - can never get used to that)
I do like some South African accents, some Welsh accents, the Geordie accent and rather controversially the Brummie accent. I love it when a man calls me bab.
(Oh and technically English IS British, but British isn't always English).