  We exploit topological semi-metallic phases resulting from the Kondo
screening in Anderson lattice models. It is shown that by including spin-orbit
interactions both in the bulk electrons and in the hybridization between the
conduction electrons and electrons in $f$ orbit, all types of topological
semi-metallic phases can be realized in Anderson lattice models. Specifically,
upon either time-reversal symmetry broken or inversion symmetry broken, we find
that either Weyl semi-metallic phase, Dirac semi-metallic phase or nodal-ring
semi-metallic phases always emerge between insulating phases and can be
accessed by tuning either temperature or spin-orbit interaction. For Anderson
lattice models with general 3D spin-orbit hybridization between the conduction
electrons and electrons in $f$ orbit, we find that Weyl nodal-ring
semi-metallic phases emerges between strong and weak topological insulating
phases. Furthermore, in the presence of an exchange field, Weyl semi-metallic
phases forms after two Weyl points of charge $\pm1$ split off from a Dirac
point at time-reversal momenta. On the other hand, when the spin-orbit
interaction is included in the conduction electron, we find that upon the
rotation symmetry being broken with anisotropic hopping amplitudes, Weyl
semi-metallic phase emerges with double Weyl node of charges of $\pm2$.
Furthermore, the Weyl semi-metallic phases with charges of $\pm2$ can be tuned
into Weyl semi-metallic phases with charges of $\pm1$ through the inclusion of
the Rashba spin-orbit interaction. Our analyses indicate that Anderson lattices
with appropriate spin-orbit interactions provide a platform for realizing all
types of topological semi-metallic phase
