An inherited metabolic disorder in which harmful amounts of lipids accumulate in cells and tissues. Because of a functionally impaired hydrolase or auxiliary protein, their lipid substrates cannot be degraded, accumulate in the lysosome, and slowly spread to other intracellular membranes. The disease is lysosomal lipid storage disorder (Monarch Disease Ontology term MONDO_0019245). Also known as: inborn error of lipid storage, inborn lipid storage disorder, lipid storage disease, lipoid storage diseas, lipoid storage disease, lipoid storage disorder, rare inborn error of lipid storage.