Combined power generation system based on Solid Oxide Fuel Cell (SOFC) is a flexible and efficient energy conversion technology that takes advantage of numerous energy sources to generate electricity. Several design parameters play a role in deciding which hybrid system based on SOFC power generation to use. These pa-rameters include SOFC stack operating pressure and temperature, fuel type, fuel processing subsystem quirks, and steam production for reforming, either by anode recirculation or heat recovery steam generator. SOFC-Gas Turbine (GT) configuration can improve the overall system efficiency by 36.8% compared to the base SOFC system. The combined efficiency of a SOFC, organic Rankine cycle (ORC), and gas turbine (GT) system is approximately 34% more than that of the base GT cycle, and 6% more than that of the hybrid SOFC-GT sub-system. Waste heat cycles like ORC, Kalina cycle, steam turbine, and transcritical CO2 cycle improve the SOFC-GT system efficiency by about 11%, 6%, 15%, and 9% respectively. In future, researchers can categorize SOFC based applications and their challenges.