With the increasing use of renewable energy systems and the volatility of access to this type of energy, needs energy storage systems to sustain the system. In the meantime, energy storage systems have distinct characteristics and applications, one of which is the compressed air energy storage system. In the present paper, the newest researches and novel systems in the field of energy storage based on compression of air and their properties were compared with the classification and comparison of the system processes. The commonalities of all these systems are the use of compressed air or compressible fluid, to store energy as a mechanical potential. In terms of how the air is stored, these systems can be divided into three categories: isochoric, isobaric, and Liquefaction. For the complexity of the systems studied in this paper, they were classified into two major categories of compressed air energy storage, together with thermal storage and novel and hybrid systems. The development of compressed air energy storage systems with thermal storage seems more difficult because of the high capital cost. But the novel and hybrid systems, although slightly beyond existing technological frontiers by combining and integrating compressed air energy storage technology with other technologies such as city gate station systems, pumped hydro storage, and air liquefaction can play a significant role in the energy storage landscape.