Judd Apatow is arguably the king of 21st-century comedy — an American whose films as writer, director and producer have taken almost $3 billion at the box office. He has a formula — broad and brash yet also rather tender, giving fans many of the biggest comedies of the past two decades: The 40-Year-Old Virgin, Knocked Up, Superbad, Bridesmaids and This Is 40. “For me, comedy is everything,” he says. “I loved angry comedy as a kid. I must have been upset at school or when my parents got divorced, so I loved comedians who talked about how all systems...