Vintage Murray moments from the show included a confrontation with Mrs Thatcher about her childcare policies, a flirtatious interview with actor Jack Nicholson, challenging Edwina Currie about her affair with John Major, and asking Hillary Clinton how she could forgive her husband Bill’s infidelity.
Other highlights included an interview with her favourite singer Joan Baez – “the peak of my career”, she once said.
As well as speaking to her listeners about her breast cancer diagnosis, she also spoke openly about her weight loss surgery and the menopause.
In 2011, she received a damehood in recognition of her contribution to broadcasting, and also won two Sony Awards and was made a member of the Radio Academy Hall of Fame during her career.
Dame Jenni made a cameo appearance in BBC satire W1A in 2015, interviewing Hugh Bonneville’s character Ian Fletcher on a fictional episode of Woman’s Hour.
In 2018, she pulled out of an Oxford University talk amid a backlash over comments she made about transgender people.