| Year | Award | Category | Work | Result |
| 2001 | London Critics Circle Film Awards | Supporting Actress of the Year | Topsy-Turvy | Nominated |
| 2002 | British Independent Film Awards | Best Supporting Actor/Actress | Villa des Roses | Nominated |
| RTS Television Awards | Best Actress | The Way We Live Now | Nominated |
| 2003 | Mademoiselle Ladubay Awards | Short Film | The Girl in the Red Dress | Won |
| London Critics Circle Film Awards | Supporting Actress of the Year | 24 Hour Party People | Nominated |
| Golden Wave Awards | Best Actress | Wilbur Wants to Kill Himself | Won |
| British Independent Film Awards | Best Supporting Actor/Actress | Wilbur Wants to Kill Himself | Nominated |
| Cherbourg-Octeville Festival of Irish & British Film | Best Actress | American Cousins | Won |
| 2004 | London Critics Circle Film Awards | Supporting Actress of the Year | Intermission | Nominated |
| Newport Beach Film Festival Jury Awards | Best Actress in a Feature Film (Comedy) | American Cousins | Won |
| Bowmore Scottish Screen Awards | Actress of the Year | American Cousins | Won |
| 2005 | BAFTA Scotland Awards | Best Actress in a Scottish Film | Frozen | Won |
| Chlotrudis Awards | Best Supporting Actress | Wilbur Wants to Kill Himself | Nominated |
| Créteil International Women's Film Festival | Special Mention for Acting | Frozen | Won |
| Marrakech International Film Festival Awards | Best Actress | Frozen | Won |
| Angel Film Awards | Best Ensemble Cast (with Danny Nucci, Dan Hedaya, Gerald Lepkowski & Vincent Pastore) | American Cousins | Won |
| RTS Television Awards | Best Actress | Dirty Filthy Love | Nominated |
| 2006 | Cherbourg-Octeville Festival of Irish & British Film | Best Actress | Frozen | Won |
| 2010 | Gotham Awards | Best Ensemble Performance(with Ciarán Hinds, Allison Janney, Michael Lerner, Chris Marquette, Rich Pecci, Charlotte Rampling, Paul Reubens, Ally Sheedy, Dylan Riley Snyder, Renée Taylor & Michael K. Williams) | Life During Wartime | Nominated |
| 2013 | British Independent Film Awards | Best Supporting Actress | Filth | Nominated |
| SPIFF Awards | Best Actress | Everyday | Won |
| 2014 | BAFTA Television Awards | Best Supporting Actress | Southcliffe | Nominated |
| BAFTA Scotland Awards | Best Actress – Television | Southcliffe | Won |
| 2017 | VFCC Awards | Best Actress in a Canadian Film | Never Steady, Never Still | Won |
| 2018 | Canadian Screen Awards | Best Actress in a Leading Role | Never Steady, Never Still | Nominated |
| Laurence Olivier Awards | Best Actress in a Musical | The Girl from the North Country | Won |
| 2019 | BAFTA Scotland Awards | Best Actress – Film | Stan & Ollie | Nominated |
| 2020 | LEJA Awards | Best Voice or Motion Capture Performance | Star Wars: The Rise of Skywalker | Nominated |
| 2023 | BAFTA Scotland Awards | BAFTA Scotland Outstanding Contribution | | Won |