  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.
