Some former child actors cringe and protest when reminded by loyal fans of long-ago projects. Not Peter Billingsley, star of “A Christmas Story.” According to journalist Rebecca Murray, “he seems to genuinely light up when the movie is mentioned.” Billingsley is also used to passersby tossing their favorite quotes at him. “They all still love it,” he told Murray. People ask him if he’s tired of talking about it, but he’s not. “I’m really, really proud to be a part of it.” Billingsley still appears in front of the cameras now and then. (He had an uncredited role in last...