The variation with respect to temperature T of transport properties of 58 fragile structural glass-forming liquids (67 data sets in total) are analyzed and shown to exhibit a remarkable degree of universality. In particular, super-Arrhenius behaviors of all supercooled liquids appear to collapse to one parabola for which there is no singular behavior at any finite temperature. This behavior is bounded by an onset temperature T-o above which liquid transport has a much weaker temperature dependence. A similar collapse is also demonstrated over the smaller available range for existing numerical simulation data.