I think by 'simple chords' you are talking about open chords, as in they are formed using unfretted strings. They follow the same 1, 3, 5 rule (a rule I never knew before this site :)). Except for B & F, the rest have an open chord arrangement. (But B & F also have a simple version, but no open strings, so they are still not 'open' chords.)

Did I get your question right?