The possibility of solving the problem of overcoming the diffraction limit in anisotropic media is discussed. Experimentally and theoretically demonstrated the occurrence of the superresolution effect, in which a distinct shadow from a point object is observed at distances much larger than the values obtained from the Rayleigh resolvability criterion. In particular, on the example of diffraction of spin waves with wavelength λ, the possibility of a distinct shadow from a through-hole in a ferrite film with diameter d < λ at a distance L ⪢ λ has been proved. It is established that super-directional wave propagation and super-resolving shadow from the object arise in the direction of the normal to the isofrequency dependence of the wave at the inflection point. The criterion of resolvability is formulated, which makes it possible to carry out evaluation calculations for waves in anisotropic media and confirms the possibility of super-directional and superresolution effects in them.