Perhaps I can give you a few ideas to consider. Realistically, you may have only a few things available and have only very specific needs for your purposes. Some of these may be more attributes to layers than actual layers. Geology/substrate materials and maps if available including faults, fractures, geologic layers. By location, depth to various members such as aquifer confining layer(s), water quality components or attributes of each aquifer, extent of each aquifer, range of hydrologic conductivity within aquifer or layer as an attribute, hydric soils or depth to layer with hydric characteristics - common zone of saturation, measured range in water table (head), location of water wells, rainfall and stream gauges, locations of geologic or soil sampling, or well or other groundwater studies with data referenced or connected to the sites. You may need both plan maps of surface features and cross section maps. If there is a lot of wells being pumped, you may want to have contour maps of water table surface with cones of depression mapped.
I suggest 2 pubblications that speak about two methods for groundwater vulnerability (SINTACS and DRASTIC). Specifically these articles give you informations about layers for map groundwater vulnerability.
Cusimano G.; De Maio M.; Gatto L.; Hauser S.; Pisciotta A. (2004) Application of SINTACS method to the aquifers of the Piana di Palermo(SICILY, ITALY), In: GEOFISICA INTERNACIONAL Elsevier, pp 10, ISSN: 0016-7169
Amit Ghosh, Ashwani Kumar Tiwari , Santosh Das (2015). A GIS based DRASTIC model for assessing groundwater vulnerability of Katri Watershed, Dhanbad, India. In: Model. Earth Syst. Environ. (2015) 1:11. DOI 10.1007/s40808-015-0009-2