Single crystals of two novel shchurovskyite-related compounds, K₂Cu[Cu₃O]₂ (PO₄ )₄ (1) and K_2.35Cu_0.825 [Cu₃O]₂ (PO₄ )₄ (2), were synthesized by crystallization from gaseous phase and structurally characterized using single-crystal X-ray diffraction analysis. The crystal structures of both compounds are based upon similar Cu-based layers, formed by rods of the [O₂Cu₆ ] dimers of oxocentered (OCu₄ ) tetrahedra. The topologies of the layers show both similarities and differences from the shchurovskyite-type layers. The layers are connected in different fashions via additional Cu atoms located in the interlayer, in contrast to shchurovskyite, where the layers are linked by Ca²⁺ cations. The structures of the shchurovskyite family are characterized using information-based structural complexity measures, which demonstrate that the crystal structure of 1 is the simplest one, whereas that of 2 is the most complex in the family.