Diffusion-controlled enzymes are characterized by second-order rate constants in the range 108-1010 M-1s-1. These values are at the upper end of the observed rates of many enzyme-substrate reactions and have been predicted by theoretical studies on bimolecular reaction in solution. Such enzymes are considered to be perfect, since their rate-limiting step is not due to any chemical event but to the diffusional association rate between the enzyme and the substrate. Often the enzyme-substrate encounter is facilitated either through the presence of a strong attractive electric field, produced by charges on the enzyme surface, or through the reduction in the dimension of the search process. Here we provide a brief review of some of the enzymes characterized by a very fast second-order constant, focusing attention on triose phosphate isomerase and Cu,Zn superoxide dismutase taken as typical examples of such highly tuned enzymes.