Directed by Susan Seidelman and starring Rosanna Arquette, Madonna and Aidan Quinn, Desperately Seeking Susan follows bored New Jersey housewife Roberta Glass, whose fascination with a free-spirited woman named Susan draws her into Manhattan and a case of mistaken identity. After an accident leaves Roberta with amnesia, she becomes caught up in Susan’s unconventional life, a criminal pursuit and an unexpected romance. Rosanna Arquette won the BAFTA for Best Supporting Actress for her performance.

Från IMDB:
A bored New Jersey suburban housewife's fascination with a free-spirited woman she has read about in the personal columns leads to her being mistaken for the woman herself.