Thorpe has appeared on stage. She worked extensively at the Royal National Theatre, in London's West End and two Shakespeare seasons at the Regent's Park Open Air Theatre. She was in the original revival cast of Cabaret as Fraulein Kost at the Lyric Theatre in London on 22 September 2006. Prior to this, she played Mrs. Lovett in the national tour of Stephen Sondheim's Sweeney Todd: The Demon Barber of Fleet Street, originated the role of Ida Arnold in the Almeida Theatre's original musical, Brighton Rock, and played the role of Madame Thenardier in the hit musical, Les Misérables.