This paper gives a bibliographical review of the finite-element methods (FEMs) applied to the analysis and simulation of rubber and rubber-like materials. It is a continuation of the author's paper 'Rubber and Rubber-Like Materials, Finite-Element Analyses and Simulations: a Bibliography (1976-1997)' published in 1998 Modelling Simul. Mater. Sci. Eng. 6 171-98. The added bibliography at the end of this article contains 510 references to papers and conference proceedings on the subject that were published in 1997-2003. The following topics are included: incompressible elasticity problems in general, mechanical and material properties, a finite-element library for incompressible materials, contact problems, fracture mechanics, machine elements/structures, material processing and other topics.