Well, I'm a NZer so I'm nowhere bloody near the UK but I have to say last time I was in London it was so fucking good... I'd just been in Austria for 2 weeks visiting family, which was great, then Rome for a few days which I wasn't so enraptured with but it was gorgeous, but after that being in London was like being back home. The accents were similar, everyone spoke English, they drive on the left and have lots (OK, too many) roundabouts and everyone avoids your eyes! Not all good things but relaxing for the similarities.
I don't try and put on an accent but I do try and eliminate the NZ twang. I can't stand it. And I've had a few immigrants ask me what country I was born in so obviously I've succeeded on some level.