Won:

2003 - Academy Awards - Best Actress - The Hours
2002 - Golden Globe - Best Actress/Musical - Moulin Rogue
1996 - London Critics Circle Awards - Actress of the Year - To Die For
1996 - Golden Globe Awards - Best Actress - To Die For
1995 - Seattle International Film Festival - Best Actress - To Die For
1992 - Sho West Convention - Female Star of Tomorrow
1989 - Australian Film Institute - Best Leading Actress - Bangkok Hilton
1988 - Australian Film Institute - Best Leading Actress - Vietnam

Nominated:

2002 - Academy Awards - Best Actress - Moulin Rogue
2002 - Golden Globe - Best Actress - The Others

Please let us know if we missed any.