Three different variants of the crossover Soave-Redlich-Kwong equation of state are applied to describe the equilibrium behaviour of 72 common fluids -27 hydrocarbons (including the first 10 n-alkanes), 36 halogenated refrigerants, 5 cryogenics (fluorine, oxygene, nitrogene, argon and carbon monoxide) and 4 other industrially important inorganic fluids (carbon dioxide, sulfur dioxide, nitrous oxide and sulfur hexafluoride). The model contains six compound dependent parameters; two of them (a 0 and b of the classical part) are adjusted to reproduce the critical temperature and the critical pressure. Within the first approach (model A), the remaining four parameters -the softness of dispersion interactions m and three parameters of the crossover part (G i , d 1 and v 1 ) -are optimized to reproduce the coexistence densities and the saturation pressure over the whole vapor-liquid region and also the pressure along the critical-and one supercritical isotherms. In the second model (model B), mutual relation between two of the crossover parameters is employed (v 1 = v 1 (G i )) and distersion softness m is expressed as a qudratic function of acentric factor ω. Using these two constrains, the crossover parameter G i (and also v 1 ) becomes correlated to rectlinear diameter r d or 1 critical compression factor Z c . It is also found, that the crossover parameter d 1 has a minor effect on the equilibrium properties. In the third model (model C), this parameter is omitted and the remaining parameters are estimated from knowledge of critical properties (a 0 and b), acentric factor (m) and rectlinear diameter (G i ). The overall quality of model C -which requires only the knowledge of the critical properties, acentric factor and rectlinear diameter -is worse compared to the two models with fitted parameters. However, it is superior to classical cubic equations of state as for the liquid coexistence densities and superior to equations optimized to reproduce the liquid densities (PCSAFT, CPA) as for the description in the critical region. The model C is applied to describe the equilibrium behaviour of two compounds not included in the parametrization, hexafluoropropene (HFO1216) and hexafluoropropene oxide (HFPO), with acceptable quality.