LOS ANGELES—Angela Lansbury, an actress whose career spanned more than 60 years and included legendary performances as diverse as Mrs. Lovett in “Sweeney Todd” and Jessica Fletcher in “Murder, She Wrote,” has died, according to a statement from her family. She was 96 years old. Since her big-screen debut in 1944, Ms. Lansbury became known to several generations for iconic performances in film and television and on Broadway, with each role more disparate than the last. [Snip]