Here we take a look at nine cases for which nobody is yet behind bars. They include stabbings, a shooting and some brutal attacks.
One of the victims was just 13 when she was sexually assaulted, strangled and left naked at the foot of a manure heap in May 1964.
Another victim was 80 when she was found strangled in the kitchen of her home in the village of Grimethorpe, near Barnsley, on January 24, 2002.
One of the most recent cases is that of a 21-year-old who died after being stabbed in the chest in an alleyway off Langsett Walk, Uperthorpe, on August 14, 2018.
Detectives have named a man they are keen to speak to but he has gone to ground.
All his friends, relatives and acquaintances have been served with harbouring notices by the police, meaning that if they are caught helping him to evade arrest they could be prosecuted.
A tiny piece of information could be just what the police need to crack a case – it could be the missing piece of the jigsaw they are looking for.
Anyone with information on any of the murders listed here should contact South Yorkshire Police on 101 or Crimestoppers, anonymously, on 0800 555111.
9. Patricia Grainger -1997
Patricia, who had learning difficulties and the mental capacity of a 12-year-old child, was stabbed, sexually assaulted and strangled. Her body was then dumped under a discarded bed base near to a brook close to her family home in Buchanan Road, Parson Cross. Photo: JPI Media
10. Barbara Young - 1977
Sex worker Barbara Young was found bludgeoned in a Doncaster alleyway on Tuesday, March 22, 1977. Her death came at the height of the Ripper killings, but due to the lack of stab wounds to her body and because her handbag was taken at the scene, Peter Sutcliffe was eventually discounted as a supect. Photo: JPI Media