This theoretical work has the purpose to thoroughly investigate the problems of shear-horizontal (SH) interfacial acoustic wave propagation guided by the common interface between two dissimilar piezoelectromagnetic hexagonal half-spaces of class 6 mm. At the interface, the mechanical, electrical, and magnetic boundary conditions can support the interfacial SH-wave propagation. The equality of the mechanical displacements and the normal components of the stress tensor (mechanically free interface) were used as the mechanical boundary conditions. The electrical and magnetic boundary conditions...