The Materials Cloud Initiative has provided a very useful tool, the Standard solid-state pseudopotentials (SSSP), as
A standard solid-state pseudopotentials (SSSP) library optimized for precision and efficiency.
The two libraries (SSSP Precision and SSSP Efficiency) cover for each element either the best in class (among many libraries, or generated by us), or occasionally allow for a compromise (either expensive and accurate, or less expensive and a bit less accurate).
The convergence pattern of each element includes for each of the considered family (represented by a color):
the total number of electrons in the valence, Z;
delta value (the error in the equation of state compared with all-electron WIEN2k results, developed by Cottenier group), at full converged cutoff;
the largest phonon frequency, ωmax, at the zone boundary (as a number), at full cutoff; and then as a function of wave function cutoff:
the discrepancy of all phonon frequencies, δω̄, at the zone boundary, with respect to the converged value;
the convergence of the pressure, δVpress, with respect to the converged value;
the convergence of the cohesive energy, δEcoh, with respect to the converged value;
the convergence of the band's structure, η10, and max η10 with respect to the converged value.
They also provided the calculated band structures, as a reference against several pseudo-potential libraries. It is a very good starting point when starting the choice of pseudo-potential.