This is a review of research results on conditions under which spatially restricted low-temperature antiferromagnets and their composites can be considered as a special class of acoustic magnetic metamaterials (magnetoacoustic metamaterials). In these, the dynamic magnetoacoustic interaction produces a number of effects that are acoustic analogs of polariton effects and which are currently intensively studied in nonmagnetic acoustic metamaterials. It is shown that the elas-tostatic approach to the analysis of the magnetoelastic dynamics of spatially restricted compensated magnetics is an effective tool in the search for new types of resonance acoustic anomalies, part of which are typical of the magnetostatic spin wave physics (elastostatic bulk and surface spin waves, nonuniform spin±spin resonances with their participation, etc.).Yu V Gulyaev, V G Shavrov V A Kotel'Spin wave acoustics of antiferromagnetic structures as magnetoacoustic metamaterials 576Yu V Gulyaev, S V Tarasenko, V G Shavrov Physics ± Uspekhi 54 (6) June 2011 Spin wave acoustics of antiferromagnetic structures as magnetoacoustic metamaterials 579 Yu V Gulyaev, S V Tarasenko, V G Shavrov Physics ± Uspekhi 54 (6)