Nine empirical correlations for the calculation of the liquid saturation density of pure fluids are studied for their accuracy and applicability. All of them are based on the corresponding states principle, and we include very recent proposals. They require as inputs the critical parameters, the acentric factor, and/or the Lennard-Jones molecular parameters. In the first part of this paper we applied these models to 552 fluids grouped into 30 families. In this second part, we use the data accepted by the DIPPR project for 873 substances more, grouped into 49 families. Recommendations are given for the use of each model and for the choice of the adequate model for each family of fluids, including for particular fluids.