The Open Roads Italian cinema event for 2013 will run June 6 through June 12 at Lincoln Center. This year’s movies cover a wide range of styles and subject matter, from romantic comedy to fantasy to drama to satire. Among the dramas are Marco Bellocchio’s take on the malaise of contemporary Italy, Bella addormentata, starring the brilliant Toni Servillo, and Marco Tullio Giordana’s reconstruction of the Piazza Fontana bombing and the subsequent investigations into it. Paolo Virzi’s endearing and quirky comedy Tutti i santi giorni opens the festival on Thursday.