Wikimedia Commons has media related to Graph families.

This category contains articles about collections of graphs either defined by some specific property, or decorated by some additional combinatorial information, and sufficiently notable to have a name. See Families of sets for related families of non-graph combinatorial objects, graphs for individual graphs and graph families parametrized by a small number of numeric parameters, and graph theory for more general information about graph theory.

See also Category:Graph operations for graphs distinguished for the specific way of their construction

Please keep in mind that a particular graph may fall in several families and some families themselves may contain subfamilies, sometimes with a rather different definition.