They want information to help locate suspects in cases and those believed to hold vital information about incidents.
Murders, romance fraud, burglaries, assaults and firearm offences could be solved with your help.
Anyone with information on the whereabouts of any of those wanted by the police should call South Yorkshire Police on 101 or Crimestoppers, anonymously, on 0800 555111.
13. Rape
Vietnamese national Loi Le, 49, is wanted in connection with the rape of a child in Tinsley, Sheffield, in 2012 or 2013. The victim, who is now 15, reported the matter to police in 2018. Photo: Claire Lewis
14. Escape from custody
James Hess, 31, is wanted in connection with an escape from lawful custody, as well as an assault and stalking committed in Doncaster. Hess is also known as James Huss or Percy Hess. Photo: Claire Lewis
15. Assault
Carl Riddiough is wanted by Doncaster detectives over an assault in March. He has links to the Belle Vue area of Doncaster. Photo: Claire Lewis
16. Recalled to prison
Terrance Gaskin, 26, has been recalled to prison and is also wanted for failing to appear at court. He is said to be actively evading the police. Photo: Claire Lewis