Some Bi-based ceramics have been recently extensively studied due to their interesting ferroelectric, magnetic and multiferroic properties. In the present investigation a subsolidus high-temperature phase relations in air were determined in the systems: (1) Bi2O3-Mn2O3-Fe2O3, (2) Bi2O3-Mn2O3-Al2O3 and (3) Bi2O3-Mn2O3-Ga2O3. The samples were prepared by wet method from nitrates and/or acetate in order to obtain well homogenized starting powder, which were additionally fired at temperatures 760-790 oC until equilibrium was reached. Based on the X-ray powder diffraction data, relevant phase diagrams were constructed. Sillenite-like phases in all three systems form solid solution in entire compositional range, however, perovskite-related compounds Bi2M14O9+δ (M1 = Mn, Fe, Al, Ga) form solid solutions in limited range, and their extension depends on the system. Solid solubility regions and structural properties of the solid solutions were determined with detailed XRD analysis.