Eleven differential and nine integral rheological models for viscoelastic fluids are tabulated in a uniform notation. Included among these are several very recently published models and three previously unpublished models. Representative experimental data are presented and used in qualitative and quantitative evaluations of the models. Comparisons between the models and the experimental data are summarized in a table where a six‐point rating scheme is used to assess the ability of several models to quantitatively describe seven material functions. The table indicates which models show promise for future work.