Best remembered in her UK homeland for her work on the Gerry Anderson series, Terrahawks, where she voiced both the main villain Zelda and the heroic Capt. Mary Falconer, Bryer became well known in the United States when she voiced Billina in Disney's 1985 film Return to Oz, as well as The Junk Lady in the 1986 movie Labyrinth, and many other films. In addition to her work voice acting in film and television she also worked extensively on UK radio and children's recordings. She was the first wife of Nicholas Parsons.

Bryer first came to public attention when she voiced Twizzle in Gerry Anderson's The Adventures of Twizzle and would go on to voice in Anderson's later series Four Feather Falls as Ma Jones and Little Jake. She also voiced Kiki The Frog in Hector's House and Noddy on the eponymous television show. She dubbed the voice of Commander Makara in the Japanese puppet series Star Fleet around the same time as Terrahawks. In Big Finish's Doctor Who audio dramas The Reaping and The Gathering, she provided the voice of Dominique Van Gyseghem.

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