Playboy Club said about 850 people, including 350 women, have signed on as members, including Elton John's partner David Furnish and model Yasmin LeBon.
Among those named in the claim, which seeks unspecified exemplary and punitive damages, are the group's Simon LeBon and Nick Rhodes, Microsoft and SFX Entertainment.
"Performing to so many people on the most exciting day in sport for Great Britain will be one of the highlights of the last decade for us, " said Duran Duran's Simon LeBon.