The cubic chain-of-rotators (CCOR) equation of state was applied to calculate excess enthalpies for a variety of binary mixtures. The systems of interest include non-polar and polar compounds with emphasis on asymmetric mixtures under diverse conditions in both gaseous and liquid states. The calculations were, in general, satisfactory to within acceptable accuracy for a majority of mixtures, although significant deviations from experimental data were found for some systems. Possible reasons for the errors were discussed.