Wife's cousin came on a visit from Florida and I took him up to the local Miners Welfare Club. He only had about four pints of John Smiths and was as pis*ed as a rat. He got up to go to the bog and was missing for what seemed to be ages. I decided to go and look for him. I found him semi conscious with a big lump on his forehead laid with his arm in the trough. We got him back to the house and managed to get him cleaned up. When his head cleared he told us that when he stood on the step of the urinal it was pretty crowded so he said to a large ginger haired guy " move over you Limey bum." We told him he'd insulted probably the hardest guy in Doncaster and district who had proceeded to " drop him", but he couldn't work out why the bloke had taken exception to his comment because he reasoned that " in the States all English blokes are known as Limeys."
I have been to Jamaica, they pronounce it the way we do. Billy ocean has a song called Carribean queen, he also pronounces it the same. Pirates of the carribean is an American film, they also say it the same as we do, including Johnny Depp.
Another Britishism happening in the States (I assume due to the rise in popularity of British boxing) is people referring to a boxing match as "a good scrap" haha.
They don't do our funny pronunciations. Once heard some American tourists on a train refer to Loughborough as Looga Barooga. I had to keep listening for furthet clues before I worked out where on earth they were referring to.