Police are urging anyone who is offered any of the distinctive items of jewellery, which included two rings with coloured stones and gold coloured bands, for sale to contact them.
The items were stolen during a burglary on West Park Road in the Roundhay area of the city, and the haul included bottles of spirits and champagne.
Police have not disclosed the value of the travellers’ cheques that were also taken.
Detective Constable Rob Kennerley of Leeds District Crime Team, said: “We are keen to identify anyone that may have sold or tried to sell these distinctive items of jewellery on in the days after the offence on New Year’s Day.”
Anyone with information is asked to contact DC Kennerley on 101 quoting crime number 13180001323.