In film, she won an Oscar for playing anarchist Emma Goldman in "Reds." She was nominated for the prize for her first role, "Lonelyhearts," in 1958. Other credits include "Airport," "Interiors," "The Fugitive Kind," "Cocoon," "Nuts" and "Plaza Suite." Simon cited that she would have made more films if she would fly—a mode of transportation she always refused to use. A woman of many phobias, she also wouldn't ride in elevators, and lived in fear of being shot while performing onstage (leading to some very active performances).
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