Abstract: Transmissive and reflective all-dielectric metastructures are presented that offer tailored polarization conversions and spectral responses. The metastructures consist of stacked deeply subwavelength, high contrast gratings of different fill factors and rotations. Broadband metastructures that perform a given polarization conversion over a wide continuous bandwidth will be shown, as well as multiband metastructures that perform a common polarization conversion over different bands. Unlike conventional stacked grating geometries, the transmissive metastructures do not require antireflection layers since impedance matching is incorporated into their design. The subwavelength gratings are modeled as homogeneous anisotropic layers, allowing an overall metastructure to be treated as a stratified dielectric medium. Quasi-static analysis is used to homogenize the subwavelength gratings and represent them with effective dielectric constants.