The static critical phenomenology near the Curie temperature of the re-entrant metallic alloys Au(0.81)Fe(0.19), Ni(0.78)Mn(0.22), Ni(0.79)Mn(0.21) and amorphous a-Fe(0.98)Zr(0.08) is studied using a variety of experimental techniques and methods of analysis. We have generally found that the values for the exponents α, β, γ and δ depart significantly from the predictions for the 3D Heisenberg model and are intermediate between these expectations and the values characterizing a typical spin glass transition. Comparing the exponents obtained in our work with indices for other re-entrant systems reported in the literature, a weak universality class may be defined where the exponents are distributed within a certain range around average values.