We and others have found that dense phase fluids, particularly carbon dioxide, are effective solvents for a wide range of homogeneous catalytic transformations. A major focus of our recent research program at Los Alamos has been to benchmark the reactivity and selectivity of catalytic reactions in liquid and supercritical carbon dioxide relative to conventional organic solvents, as well as to develop new concepts for catalytic chemistry. We will summarize product distributions, selectivity, kinetics, temperature/pressure effects and mechanistic studies for three important classes of catalytic reactions in dense phase carbon dioxide: selective oxidation; reduction including hydroboration and asymmetric hydrogenation; and carbon-carbon bond forming reactions. We will also report on new systems that incorporate C02-philic ligands for catalysis as well as newly developed systems which involve either C02-soluble polymer-supported ligands or biphasic catalysis in carbon dioxide/water emulsions for enhancing reactivity and separation.