Rigg received the Tony Award and the Evening Standard Award for Medea and a Tony nomination for The Misanthrope. Her many London credits include Pygmalion, Macbeth, Jumpers, Who's Afraid of Virginia Woolf?, Mother Courage, Follies, and Suddenly Last Summer. Her numerous film and television credits include The Avengers, King Lear, A Little Night Music, and The Painted Veil.

Doctor Who stars Matt Smith and Jenna-Louise Coleman.