| Year | Association | Category | Nominated work | Result |
| 1961 | Billboard Year-End | Most Promising Female Vocalist | | Won |
| 1962 | Grammy Award | Best New Artist | | Nominated |
| Golden Laurel | Top Female New Personality | | Won |
| Golden Globe Award | Most Promising Newcomer – Female | | Won |
| 1963 | Golden Laurel | Top Female Musical Performance | State Fair | Won |
| Top Female Star | | Nominated |
| 1964 | Top Female Comedy Performance | Bye Bye Birdie | Won |
| Top Female Star | | Nominated |
| Golden Globe Award | Best Motion Picture Actress – Musical/Comedy | Bye Bye Birdie | Nominated |
| Photoplay Award | Most Popular Female Star | | Won |
| 1965 | Golden Laurel | Musical Performance, Female | Viva Las Vegas | Won |
| 1966 | Made in Paris | Won |
| 1967 | Top Female Star | | Nominated |
| 1972 | Academy Award | Best Actress in a Supporting Role | Carnal Knowledge | Nominated |
| Golden Globe Award | Best Motion Picture Actress in a Supporting Role | Won |
| 1973 | Hollywood Walk of Fame | Motion Pictures | Contributions to the film industry | Inducted |
| 1975 | Academy Award | Best Actress in a Leading Role | Tommy | Nominated |
| Golden Globe Award | Best Motion Picture Actress – Musical/Comedy | Won |
| 1978 | Best Motion Picture Actress in a Supporting Role | Joseph Andrews | Nominated |
| 1979 | Saturn Award | Best Actress | Magic | Nominated |
| 1981 | Genie Award | Best Performance by a Foreign Actress | Middle Age Crazy | Nominated |
| 1983 | Primetime Emmy Award | Outstanding Lead Actress in a Limited Series or a Special | Who Will Love My Children? | Nominated |
| Golden Apple Award | Female Star of the Year | | Won |
| 1984 | Primetime Emmy Award | Outstanding Lead Actress in a Limited Series or a Special | A Streetcar Named Desire | Nominated |
| Golden Globe Award | Best Performance by an Actress in a Mini-Series or Motion Picture Made for TV | Who Will Love My Children? | Won |
| 1985 | A Streetcar Named Desire | Won |
| 1987 | Primetime Emmy Award | Outstanding Lead Actress in a Mini Series or a Special | The Two Mrs. Grenvilles | Nominated |
| Women in Film Crystal Award | For outstanding women who, through their endurance and the excellence of their work, have helped to expand the role of women within the entertainment industry. | | Recipient |
| 1988 | Golden Globe Award | Best Performance by an Actress in a Mini-Series or Motion Picture Made for TV | The Two Mrs. Grenvilles | Nominated |
| 1993 | Primetime Emmy Award | Outstanding Lead Actress in a Mini Series or a Special | Queen: The Story of an American Family | Nominated |
| 1994 | Golden Globe Award | Best Performance by an Actress in a Supporting Role in a Series, Mini-Series or Motion Picture Made for TV | Nominated |
| 1999 | Primetime Emmy Award | Outstanding Lead Actress in a Miniseries or a Movie | Life of the Party: The Pamela Harriman Story | Nominated |
| Golden Globe Award | Best Performance by an Actress in a Mini-Series or Motion Picture Made for TV | Nominated |
| 1999 | Screen Actors Guild Award | Outstanding Performance by a Female Actor in a TV Movie or Miniseries | Nominated |
| 2001 | Grammy Award | Best Southern, Country, or Bluegrass Gospel Album | God is Love: The Gospel Sessions | Nominated |
| 2002 | GMA Dove Award | Best Country Album | Nominated |
| 2005 | CineVegas International Film Festival | Centennial Award | | Won |
| 2010 | Primetime Emmy Award | Outstanding Guest Actress in a Drama Series | Law & Order: SVU: Bedtime | Won |
| 2013 | Ft. Lauderdale International Film Festival | Lifetime Achievement Award | | Recipient |
| 2019 | Online Film & Television Association Award | Best Guest Actress in a Comedy Series | The Kominsky Method | Nominated |