Raman scattering activities have been derived for two cases of uniaxially oriented molecules. In the first case, one principal axis of the molecule is held in fixed orientation while the other two axes are randomly oriented. In the second case, one principal axis is confined to a plane while, as before, the other two axes are randomly oriented. Expressions for scattering activities in terms of elements of the derived polarizability tensor are tabulated for three orthogonal sample orientations and for both right-angle and back viewing. These expressions should be useful in interpreting Raman spectra of samples such as stretched polymers, partially ordered polycrystallites, molecules or macro-molecules partially ordered by shear flow, or molecules contained in liquid crystals or clathrates.