“If you ask me to play myself, I will not know what to do,” said the British actor Peter Sellers. But he could play the hell out of other characters. From bumbling Inspector Jacques Clouseau in The Pink Panther to a trio of fanatics in Dr. Strangelove, Sellers sold it. His chameleon-like talent left a mark on many, including Woody Allen, Christopher Guest, and Geoffrey Rush. Celebrating the centennial of Sellers’s birth, the British Film Institute is screening his films through the month of August. —Carolina de Armas