The desire to use novel functional materials in electrochemical devices stimulates significant research in materials science. Сomplex oxides with a perovskite-like structure occupy a large niche among such materials. Solid solutions based on LaInO3 exhibit promising ionic conductor properties (O2–, H+) combined with high chemical stability. This review presents a comprehensive analysis of the physicochemical properties of doped LaInO3 materials. The structure and hydration processes of parent and doped compounds are discussed. The transport properties data were collected and summarized. Both the pure and the doped materials exhibit mixed ion-hole conductivity in dry air. All solid solutions based on LaInO3 are capable of reversible incorporation of water vapor due to their effective oxygen vacancy size close to ran~1.4 Å. Under elevated humidity conditions, proton transfer is observed in the samples. The data indicates a correlation between an increase in free cell volume and an increase in ionic conductivity. The results on chemical stability and TEC for the pure and doped materials are analyzed. The strategy for selecting dopant cations is shown. The presented data show the potential for applications of LaInO3-based materials in electrolyte membranes for solid oxide fuel cells, pumps and sensors.