Computational homogeneous catalysis has progressed from early simplified models to more complex and realistic simulations. Current research involves larger catalytic systems like oxidative coupling reactions and microkinetic models of reaction networks in host-guest catalysis. Two recent examples are discussed: a Rh/Cu oxidative coupling that operates by a cooperative reductive elimination mechanism, and a host-guest catalyzed reaction where acceleration is mostly due to an entropic effect. The future of the field may involve more challenging problems like water oxidation, big data analysis, and statistical studies to develop reactivity descriptors.