We explore a pure optical method for enantioselective orientation of chiral molecules by means of laser fields with twisted polarization. Several field implementations are considered, including a pair of delayed cross-polarized laser pulses, an optical centrifuge, and polarization shaped pulses. The underlying classical orientation mechanism common for all these fields is discussed, and its operation is demonstrated for a range of chiral molecules of various complexity: hydrogen thioperoxide (${rm HSOH}$), propylene oxide (${rm CH_{3}CHCH_{2}O}$) and ethyl oxirane (${rm CH_{3}CH_{2}CHCH_{2}O}$). The presented results demonstrate generality, versatility and robustness of this optical method for manipulating molecular enantiomers in the gas phase.