Much much work has been recently devoted to the study of the dynamics of quantum isolated systems after a sudden change in the Hamiltonian. In this talk I will describe the evolution of a family of isolated classical many-body disordered systems after instantaneous quenches of the same kind. The aim of these studies was to disentangle effects due to the quantum/classical nature of the systems from those intimately linked to the isolation and internal interactions (integrability vs. Non-integrability). I will emphasise the discussion of the dynamic phase diagram and the possible measures reached asymptotically (comparing Gibbs-Boltzmann equilibrium to Generalised Gibbs Ensemble probabilities).