Richard Perry, a hitmaking record producer with a flair for both standards and contemporary sounds whose many successes included Carly Simon’s “You’re So Vain,” Rod Stewart’s “The Great American Songbook” series, and a Ringo Starr album featuring all four Beatles, died Tuesday. He was 82. Perry, a recipient of a Grammys Trustee Award in 2015, died at a Los Angeles hospital after suffering cardiac arrest, friend Daphna Kastner said. “He maximized his time here,” said Kastner, who called him a “father friend” and said he was godfather to her son. “He was generous, fun, sweet and made the world a better place. The world is a little less sweeter without him here. But it’s a little bit sweeter in heaven.”…