There are homes with no attics all over the United States.
Eichler, Cliff May and “Flat Roof” Smith got their start in California in the 1950s for the purpose of building affordable homes for our heroes coming home from World War 2.
An excellent resource is http://www.eichlersocal.com
The cities include San Jose (Shannon Estates) , Pittsburg (Shore Acres) , Richmond (Fairmede), Vallejo, Milpitas (Milford Village), Chico, Yuba City, Turlock, Salinas, Newark (Los Ranchitos)
Other communities sprang up in SoCA – Los Angeles, Woodland Hills, Encino, Long Beach, Granada Hills, Crestwood Hills (http://www.crestwoodhills.com) The Ranchos in Long Beach. Web site is http://www.ranchostyle.com
Architect Cory Buckner built 160 homes in Crestwood Hills.
Eichler built several communities in Orange, CA – Fairhaven at Fairhaven and Woodland, Fairhills at Santiago Canyon and Linda Vista, and Fairmeadow at Taft and Cambridge.
Palmer and Krisel designed homes for Alexander Building Company that were built in North Hills, Palm Springs, LaJolla, Anaheim, Fullerton and Placentia. http://www.ocmodhomes.com
Another large community is in North Carolina, and http://www.ncmodernist.org is a resource. It is connected to USModernist, which says it is the world’s largest digital archive for residential Modernist architecture and magazines with 5,000 houses and 3,500 issues.
It has details on the entire residential output of Wright (Sr. and Jr.), Lautner, Neutra, Rudolph, Ain, Schindler, Ellwood, Soriano, Kundig, Arahuete, Gehry, Gropius, Breuer, Gwathmey, Meier, Jones (E. Fay and A. Quincy), Williams (Paul and E. Stewart) and many more.
An example of the wealth of data on that site, here is the 1969 home “The Bernard and Pauline Silberman House” at 14 Heath Place, Durham No Carolina.
In addition to all the communities above, it is good to note that nearly every home in New Mexico is built with no attic.