Complex sentence: Granger began to get work on stage in London, appearing in "The Sun Never Set" (1938) at the Drury Lane Theatre and "Serena Blandish" (1938) opposite Vivien Leigh.
Split into simpler sentences: Granger began to get work on stage in London. He appeared in "The Sun Never Sets" (1938) at the Drury Lane Theatre and in "Serena Blandish" (1938) opposite Vivien Leigh.