Loft insulation itself rarely needs Building Regulations approval, but related electrical or structural work in the loft might.
Building Regulations apply to work affecting structure, fire safety or electrical safety, even where the insulation itself is exempt.
Listed building consent is a legal requirement for work affecting a listed building's historic fabric, including some loft work.
Gas fittings and flues, including those in a loft, must only be worked on by someone competent; in practice, a Gas Safe registered engineer.