Experimental data on equations of state for rare gas solids are analysed within an “extended” Mie-Gruneisen approach, which uses a Modified Debye-Einstein model, MoDE2 for the quasiharmonic phonon contribution to the thermal pressure with additional corrections for intrinsic anharmonicities. The static lattice pressure is represented thereby with an Adapted Polynomial expansion of 3rd order, AP3, which uses as adjustable parameters the atomic number Z, the atomic volume Vsl0, the bulk modulus Ks10, and its first and second pressure derivatives K′s10, and K″s10 at zero pressure. Within this model, not only the data for selected p(V,T) isotherms, but also for the specific heat capacities Cpo andCvo, the volume V0(T), and the bulk modulus K0(T), at ambient pressure, are analysed in detail. Good agreement of the model with the experimental data is found for Ar, Kr, and Xe. The data for Ne, however, point to significant anharmonicity and vacancy contributions at ambient pressure, which go beyond the limits of the present model.