Lysosomes are degradative organelles in eukaryotic cells mediating the hydrolytic catabolism of various macromolecules to small basic building blocks. These low molecular weight metabolites are transported across the lysosomal membrane and re-used in the cytoplasm and other organelles for biosynthetic pathways. Even though in the past 20 years our understanding of the Accepted Article This article is protected by copyright. All rights reserved lysosomal membrane regarding various transporters, other integral-and peripheral-membrane proteins, the lipid composition but also its turnover has greatly improved, there are still many unresolved questions concerning key aspects of the function of the lysosomal membrane. These include a possible function of lysosomes as a cellular storage compartment, yet unidentified transporters mediating the export e.g. of various amino acids, mechanisms mediating the transport of lysosomal membrane proteins from the Golgi apparatus to lysosomes, and the turnover of lysosomal membrane proteins. We here review the current knowledge about the lysosomal membrane and identify some of the open questions that need to be solved in the future for a comprehensive and complete understanding of how lysosomes communicate with other organelles, cellular processes, and pathways.