This article proposes a comparative multi-objective thermoeconomic optimization analysis of cascade condenser integrated refrigeration system (CCIRS) and subcooler integrated refrigeration system (SIRS). Different absorbent solution/solution mixture-water combinations, i.e., LiBr-H2O and CaCl2-LiBr-LiNO3-H2O have been utilized as working fluids in the absorption refrigeration sub-system, and R290 is employed as a refrigerant in a compression refrigeration sub-system for both cases. The study has been conducted using multi-objective genetic algorithm (MOGA), multi-objective particle swarm optimization (MOPSO), and multi-objective sanitized teaching learning optimization (MOsTLBO) to determine the efficient system and working fluid. The objectives of the present work are to maximize the coefficient of performance (COP), maximize the exergy efficiency, minimize the total annual cost, and report the efficient energy systems. The total annual cost of the system is formulated using the system’s energy, exergy, and economic parameters. The non-dominated solutions reported by the algorithm are illustrated as a Pareto front, a trade-off between the objectives. CaCl2-LiBr-LiNO3-H2O, as a working pair, demonstrates to be more efficient than LiBr-H2O for both CCIRS and SIRS. Based on the energy and exergy efficiency, SIRS can be selected, while from the economic point of view, CCIRS proves to be better.