Recently the mixed phase-state of the rhombohedral and the other – presumably the nonpolar orthorhombic – phases, has been shown to exist in unpoled Na1/2Bi1/2TiO3 (NBT) over a wide temperature range including the room temperature instead of the pure rhombohedral phase while only the rhombohedral phase is observed in the poled state. The finding raises the question about the characterisation of the structure of NBT solid solutions approaching the morphotropic phase boundary (MPB) frequently being assumed as rhombohedral even in the unpoled state. CaTiO3 is found to stabilise the orthorhombic Pnma crystallographic structure. Clear stabilisation of the rhombohedral phase is found in NBT-PbTiO3 solid solutions upon approaching the MPB. Even if some indications about stabilisation of the rhombohedral phase in NBT-BaTiO3 solid solutions exist, there is no clearly increasing concentration of the rhombohedral phase found in all the concentration range of BaTiO3 below the MPB. In difference from CaTiO3, the NBT solid solutions with structurally similar CdTiO3 have a complicated phase diagram. The solid solutions at low concentrations of CdTiO3 have nonpolar symmetry group with a+a+a+ octahedral rotations according to the Glazer notation, transforming to the a+b+c+ polar symmetry group upon increasing the CdTiO3 concentration. Such kind of tilting so far has never been found in real crystallographic structures.