The aim of this study is to assess the state-of-the-art situation of mechanical compressors with thermal compressor systems in combined cooling systems and their ability to provide the required cooling effects with lower energy consumption than traditional cooling systems. The integrated systems have various advantages such as a broad temperature range, low energy consumption, and more flexibility in operating conditions. A comprehensive review of thermal‒mechanical combined cooling systems is presented in terms of its principles, applications, different configurations, and various heat source systems. Two types of thermal compressor systems are included in this study. The first one is the absorption system that uses a liquid‒vapor working pair in its thermodynamic cycle. Additionally, the second type is the adsorption system that utilizes a solid‒vapor working pair in its thermodynamic cycle. It is concluded that continuing technological innovations are vital for sustainable cooling. Technological developments can lead to cooling that is both inexpensive and energy-efficient.