Two new compounds, namely cubic tricaesium lithium dizinc tetrakis(tetraoxotungstate), CsLiZn(WO), and tetragonal trirubidium dilithium gallium tetrakis(tetraoxomolybdate), RbLiGa(MoO), belong to the structural family of CsZn(MoO) (space group I-43d, Z = 4), with a partially incomplete (Zn□) position. In CsLiZn(WO), this position is fully statistically occupied by (ZnLi), and in RbLiGa(MoO), the 2Li + Ga atoms are completely ordered in two distinct sites of the space group I-42d (Z = 4). In the same way, the crystallographically equivalent A cations (A = Cs, Rb) in CsZn(MoO), CsLiZn(WO) and isostructural ALiZn(MoO) and CsLiCo(MoO) are divided into two sites in RbLiGa(MoO), as in other isostructural ALiR(MoO) compounds (AR = TlAl, RbAl, CsAl, CsGa, CsFe). In the title structures, the WO and (Zn,Li)O or LiO, GaO and MoO tetrahedra share corners to form open three-dimensional frameworks with the caesium or rubidium ions occupying cuboctahedral cavities. The tetrahedral frameworks are related to that of mayenite 12CaO·7AlO and isotypic compounds. Comparison of isostructural CsMZn(MoO) (M = Li, Na, Ag) and CsZn(MoO) shows a decrease of the cubic lattice parameter and an increase in thermal stability with the filling of the vacancies by Li in the Zn position of the CsZn(MoO) structure, while filling of the cation vacancies by larger Na or Ag ions plays a destabilizing role. The series ALiR(MoO) shows second harmonic generation effects compatible with that of β'-Gd(MoO) and may be considered as nonlinear optical materials with a modest nonlinearity.