The offences include racially aggravated assault, possession of drugs, harassment, public order, theft, going equipped to steal, driving without insurance, criminal damage and breach of court bail.
Arrest warrants have been issued on all 12, who are aged between 18-50. They are all believed to be residing in the borough or have strong connections with the area.
Detective Chief Inspector Rachael Porter urged these individuals to give themselves up at Sutton police station and appealed to anyone who knows their whereabouts to report their location to police.
She said police would arrest and prosecute anyone who was found to be harbouring these individuals. "Assisting an offender who has committed an arrestable offence is considered a serious offence in its own right by the courts.
"This could involve hiding an offender, assisting an offender in avoiding arrest and lying to police to protect the offender from investigation and prosecution. The maximum sentence for assisting an offender varies from three to ten years' jail depending on the seriousness of the offender's offence," said Detective Chief Inspector Porter.
The men and women are named and are wanted in connection with the following offences:
Scott Haynes, aged 33: theft from Morrisons, High Street, Sutton, and going equipped to steal
Thomas Beer, aged 50: public order offence by urinating in Rosehill Rec
Derek Dickson, aged 33: public order offence by threatening violence on another man
Richard Pope, aged 42: theft from vehicle
Billie-Jo Hobbs, aged 24: breach of court bail for GBH after being found in Vanguard Way, Wallington
Dean Jordan, aged 30: assault and harassment on a female and breach of bail
Steven Armour, aged 34: fraudulent use of number plates, and riding without insurance and not in accordance with driving licence in Beddington Lane
Mark Barriball, aged 34: criminal damage by smashing window in front door of residential address
James Jones, aged 18: assault, possession of drugs and breach of court order
Lynn Ware-Hill, aged 59, wanted for failing to appear at Croydon Magistrates' Court on Thursday, 3 December for theft from Morrisons, High Street, Sutton, on Monday, 9 November.
If you see any of these individuals, call police on 999 immediately. If you have any information about their whereabouts, call Sutton Police station on 101. Alternatively, you can call Crimestoppers anonymously on 0800 555 111.