Mr Smith, aged 46, was last seen at his home on Hindsford Close, Northern Moor at 8.25am on Friday 21st November 2014.
He is described as white, slim build, 6ft 2in tall with short brown hair, a goatee beard, brown eyes. He wears glasses and speaks with a Lancashire accent.
Jeremy was last seen wearing a grey polo shirt, black fleece and a blue Northface jacket, with black trousers and black shoes.
He is likely to be driving a burnt orange Skoda Fabia with the registration number Y161 AFP.
Police say his disappearance is extremely out of character, as is the fact his mobile phone is switched off and he has made no attempt to contact his family.
Jeremy is known to frequent areas in Wilmslow, Sale Water Park, South Manchester.
Anyone with information of Jeremy’s whereabouts should contact police on 0161 856 4882 or 0161 856 4807 as a matter of urgency.