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.