This review presents recent advances and applications of Statistical Asso-ciating Fluid Theory (SAFT), which has been extended in the last few years, conceptually and practically, to improve its performance and to rep-resent thermodynamic properties of complex systems, such as associating polymers, polydispersed polymers, aqueous electrolytes, dipolar and quad-rupolar systems, ionic liquids, near-critical systems, interfacial phenom-ena, crystallizable copolymers, gas hydrates, liquid crystals, biomaterials, and oil reservoir fluids, as well as dynamic properties such as viscosity.