A good place to start looking would be omim.org (Online Mendelian Inheritance in Man). A search gives lots of results, but here are the genes currently attributed to various types of ectodermal dysplasia. Of course, there may be others, and other resources that can help, and you will need to check some other publications to determine the reliability of these associations.
Ectodermal dysplasias: a clinical and molecular review. García-Martín P1, Hernández-Martín A, Torrelo A. Actas Dermosifiliogr. 2013 Jul-Aug;104(6):451-70.