I will present the final results of the ACS "Local Cosmology from Isolated dwarfs (LCID)" project, which has used over 100 orbits of HST time to obtain color-magnitude diagrams reaching the oldest main sequence turnoffs (V~28) in six isolated Local Group galaxies (two dIrr, IC1613 and Leo A, two transition dIrr/dSph, LGS3 and Phoenix, and the only two isolated dSph in the Local Group, Cetus and Tucana). Complete star formation histories have been derived through comparison with synthetic color-magnitude diagrams. I will discuss the detailed star formation and chemical enrichment histories that we have derived for the LCID galaxies, with particular emphasis on the similarities and differences of the six galaxies in the sample, in relation with their morphological type, and on whether their characteristic features can be interpreted as signatures of both global (UV background) and local phenomena (SNe feedback, self-shielding).