In pursuance of an accurate reality description, more and more physical theories and models are being developed. MRI techniques have superiority in terms of sensitivity to the specific tissue features and their variations. Thus, very precise determination of relaxation and diffusive properties in biological systems may enhance the cellular-level mapping. In this work we present new anisotropic phantoms with layered and capillary geometries, which can contribute to the characterization of biological samples far below the voxel size. Highly advanced manufacturing technique allowed us to obtain well-defined, stable structures, which is undisputable advantage of these models. The phantoms were tested in terms of relaxation and diffusion behavior of water in 50 mT and 0.6 T magnetic field strength. 1D and 2D relaxation experiments revealed many relaxation mechanisms. Diffusion Weighted Imaging confirmed speculations about heterogeneous diffusion coefficient, despite application of the recently proposed BSD-DTI method.