The results of ab initio quantum-chemical calculations of the structure, stability, and spectroscopic properties (normal frequencies, magnetic shielding constants, etc.) of the family of hypothetical (as yet unsynthesized) endohedral clusters listed in the title are surveyed. We consider the systems with (i) tetrahedral molecules and ions MX 4 0,± and noble gas clusters Ng4 inside the “tetragonal” cages C60H36 (T), C60H24 (T), and C84 (T d); (ii) linear triatomic MX2 and tetratomic C2H2 and BNH2 molecules inside the prolate ellipsoidal C70 (D 5h ) cage; and (iii) planar benzene and borazole molecules inside the oblate ellipsoidal C84 (D 6h ) cage.