Homeowners (private side) are responsible for plumbing, foundations drains (e.g., weeping tiles), downspouts, sump pumps and sewer laterals on private property. These connect to either the storm or sanitary system, depending on your set up.
Homeowners are also responsible for any subsurface waterproofing systems, proper lot drainage and maintaining ditches, backyard swales and driveway culverts located on private property.