Awards
| Year | Award |
| 2021 |
Australian Academy of Cinema and Television Arts Awards
Best Lead Actress - Won |
| 2019 |
Logie Awards
Most Outstanding Actress - Nominated |
| 2018 |
Australian Academy of Cinema and Television Arts Awards
Best Lead Actress - Drama - Nominated |
| 2017 |
Emmy (Primetime)
Outstanding Supporting Actress in a Limited Series or Movie - Nominated |
| 2015 |
Australian Academy of Cinema and Television Arts Awards
Best Supporting Actress - Won |
| 2012 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Nominated |
| 2011 |
Australian Academy of Cinema and Television Arts Awards
Best Lead Actress - Won |
| 2007 |
Emmy (Primetime)
Outstanding Supporting Actor in a Miniseries or a Movie - Won |
| 2007 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Won |
| 2006 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 2004 |
Golden Globe
Best Performance by an Actress in a Miniseries or Motion Picture Made for Television - Nominated |
| 2004 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 2002 |
Golden Globe
Best Performance by an Actress in a Limited Series or Motion Picture Made for Television - Won |
| 2002 |
Screen Actors Guild Awards
Outstanding Performance by a Female Actor in a Television Movie or Miniseries - Won |
| 2001 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Won |
| 2000 |
Golden Globe
Best Performance by an Actress in a Limited Series or Motion Picture Made for Television - Nominated |
| 2000 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 2000 |
Screen Actors Guild Awards
Outstanding Performance by a Female Actor in a Television Movie or Miniseries - Nominated |
| 1999 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 1998 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 1996 |
Golden Globe
Best Performance by an Actress in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television - Nominated |
| 1995 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Won |
| 1993 |
British Academy of Film & Television Arts
Actress in a Leading Role - Nominated |
| 1993 |
Academy Award
Actress in a Supporting Role - Nominated |
| 1993 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Musical or Comedy - Nominated |
| 1992 |
Golden Globe
Best Performance by an Actress in a Miniseries or Motion Picture Made for Television - Won |
| 1992 |
Emmy (Primetime)
Outstanding Lead Actress in a Miniseries or Movie - Nominated |
| 1985 |
Academy Award
Actress in a Leading Role - Nominated |
| 1982 |
Emmy (Primetime)
Outstanding Supporting Actress in a Limited Series or Special - Nominated |
| 1980 |
British Academy of Film & Television Arts
Actress - Won |
| 1980 |
British Academy of Film & Television Arts
Most Outstanding Newcomer to Leading Film Roles - Won |
