Landlords must arrange annual safety checks for the gas appliances and flues they provide, whether or not the property needs a licence. The Health and Safety Executive sets out who the duty falls on, and we would link its page beside the council one.
Saltaire is the local constraint worth a paragraph. Bradford Council's Article 4 page records that "The Saltaire Article 4 Direction was made on 21 December 1976. It removed permitted development rights for external alterations and extensions (including porches) to residential properties within the defined area", and that "All of the properties within the defined area became listed buildings in 1984. This means that they now have a greater degree of protection which supersedes the controls in the Article 4 Direction, as listed building consent is required for all alterations and extensions to the properties." Saltaire was inscribed on the World Heritage List in 2001.
What that means on a plumbing job is narrow and worth saying plainly. A tap change is not an alteration to the outside of a listed building. A flue, a condensate run, a soil pipe or a new vent on an elevation is a different question. We would explain how you check the defined area boundary, the listing and the work proposed before confirming whether consent is needed, which is the paragraph that saves you a wasted visit.
No selective licensing scheme covers Shipley. Mandatory HMO licensing may still apply. Its becoming a landlord page says only that "Anyone considering letting out their home must be aware of, and understand, the responsibilities they take on, many of which are legal requirements." On boilers the national position applies: gov.uk says "You do not need advance approval for emergency repairs to your boiler or heating system, but there are rules you must follow", and "You do not need to get approval yourself if you use someone registered with a competent person scheme".