Directional polarization of atoms in crystalline dielectrics leads to anisotropic permittivities that usually enable phase delay between two orthogonal components of light in waveplates. However, amplitude-type anisotropy is seldom observed in natural dielectrics because optical absorption of transparent materials is mainly dominated by polarization-insensitive bandgap. This work introduces the co-existence of both amplitude- and phase-type anisotropies in artificial dielectric rectangle nanoantennas by using a united approach of directionally excited magnetic resonances. When anti-parallel magnetic dipolar modes (AMDMs) are induced horizontally, the resulting electric fields at the antenna−substrate interface behave, surprisingly, like those of surface plasmonic polaritons (SPPs), leading to nearly full reflectance of light. But, for the incidence of the other polarization, only vertically located AMDMs arise with high transmission, thus yielding amplitude-type anisotropy. For phase-type anisotropy, both orthogonal polarizations of light excite vertical AMDMs with high transmission and an additional polarization-dependent phase. Both anisotropies are multiplexed into a polarization-dependent color-printed hologram for optical anticounterfeiting.