There are some museums that are vintage aviation and others that are air and space. Many are partner museums of the Smithsonian. Some of these are only feature information about the space programs. Others are only aviation museums. You can look up Smithsonian Partner Museums and see a complete list.
Smithsonian, Washington, D.C
Smithsonian Partners of Air Museums
Museum of Flight, Seattle, Wa.
Nassau County’s Cradle of Aviation
Pima Air and Space Museum
San Diego Air and Space Museum
Fantasy of Flight
International Women Air and Space