Detectives believe some of those featured they may hold vital information about offences.
A number of new faces have been added, taking the total now listed to 26.
Others are wanted for offences including absconding from jail and breaching the conditions of their licences once released from prison.
If you recognise anyone in the images, please South Yorkshire Police on 101.
17. Declan Duffy
Officers investigating a firearms discharge in Rotherham earlier this year want to trace Declan Duffy. Duffy, 22, is wanted in connection with a firearms discharge on the afternoon of Thursday, January 27 on Alpha Road. A 40-year-old man was taken to hospital with non-life threatening injuries and later discharged. Officers have been carrying out extensive enquiries since this incident including armed raids at a number of addresses. Police now want to hear from anyone who has seen or spoken to Duffy recently, or knows where he might be staying. He is white, around 5ft 3ins tall with light brown hair and a small beard/moustache. Call 999 with sightings or anyone with information on where he may be should call 101 and quote incident number 486 of January 27, 2022. Photo: SYP
18. Royal Thompson
Royal Thompson, 30, of the Wincobank area of Sheffield, is wanted in connection with an alleged kidnapping on November 30, 2021. Police want to hear from anyone who has seen or spoken to Thompson recently, or knows where he may be staying. Thompson has links to Sheffield, Rotherham and Barnsley. If you see Thompson, call 999. If you have any other information about where he might be, call 101 and quote incident number 350 of November 30, 2021. Photo: SYP
19. Patrick Maloney
Officers in Rotherham are appealing for help to find wanted man Patrick Maloney. Maloney, 20, also known as Michael Collins, Tommy Connors or Paddy McCann, is wanted in connection to a burglary in Moorgate, Rotherham, on December 9, 2021. Maloney is white, 5ft 2ins tall and has short, ginger hair. Anyone with information should call 101 and quote incident number 515 of December 9, 2021. Photo: SYP
20. Callum Mottram
Callum Mottram, 26, is wanted in connection with a number of burglaries which have taken place in Sheffield so far this year. He is white, slim and has links to Hillsborough, Kelham Island, Norfolk Park, Penistone Road, Flora Street and Langsett Road. If you see Mottram, call 999. If you have any information as to his whereabouts, call 101. The incident number to quote is 246 of April 21. Photo: SYP