The National WASP WWII Museum is Sweetwater's one genuinely important sight. It sits at Avenger Field, where Women Airforce Service Pilots trained before ferrying aircraft, towing targets, testing planes, and doing other dangerous military flying that was long under-recognised.
The museum tells that story through aircraft, photographs, uniforms, and the atmosphere of the old airfield itself. It is worth a stop even if you are not usually drawn to aviation museums, because the subject is not just machines. It is about women doing serious wartime work before the country was ready to admit what they had done.