I don't keep check of the names of players that dive, but I do know that I've seen dozens of British players do it on many occasions. Maybe "in the old days" it never happened, but when the foreign players allegedly "brought it over" I can say that well over half of the England national football team seem to have embraced the 'simulation' process with open arms. That includes the likes of Gerrard, Cole (both of 'em), Lampard, Rooney, Beckham, Owen, Defoe, Johnson, Lennon, all of whih I've seen dive once or twice at least. I've once even been suspicious of a certain Gary Neville, but I found it too hard to believe and figured he just lost his footing... never seen that happen more than once with him, though, admittedly. Never seen Rio, Terry or Carragher dive but I imagine that central defenders would have a rough time doing so.
Likewise, there are a lot of foreign players who I've never seen dive despite watching them play a fair amount of games.
EDIT: The only people to blame for diving, as far as I'm concerned, would be the FA who don't do enough to bring in technology and delayed punishments (ie, if it's found a player dived after the game is over, they get given a yellow card for it - much like a crime can still be punished in the real world if it's discovered five years later).