Academy Awards
| Year | Award | Category | Cast & Crew | Result |
|---|---|---|---|---|
| 1992 | Academy of Motion Picture Arts and Sciences | Best Art Direction | Stuart Craig | Nominated |
| 1992 | Academy of Motion Picture Arts and Sciences | Best Art Direction | Chris A. Butler | Nominated |
| 1992 | Academy of Motion Picture Arts and Sciences | Best Actor | Robert Downey, Jr. | Nominated |
| 1992 | Academy of Motion Picture Arts and Sciences | Best Score | John Barry | Nominated |
British Academy of Film and Television Arts
| Year | Award | Category | Cast & Crew | Result |
|---|---|---|---|---|
| 1992 | British Academy of Film and Television Arts | Best Actor | Robert Downey, Jr. | Nominated |
| 1993 | British Academy of Film and Television Arts | Best Costume Design | Ellen Mirojnick | Nominated |
| 1992 | British Academy of Film and Television Arts | Best Production Design | Stuart Craig | Nominated |
Golden Globes
| Year | Award | Category | Cast & Crew | Result |
|---|---|---|---|---|
| 1992 | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Comedy | Robert Downey, Jr. | Nominated |
| 1992 | Hollywood Foreign Press Association | Best Original Score | John Barry | Nominated |
| 1992 | Hollywood Foreign Press Association | Best Performance by an Actress in a Supporting Role in a Motion Picture | Geraldine Chaplin | Nominated |

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