An overview is given of the present status of strange and strangeonium spectroscopy. It begins with a brief introduction to the general characteristics of the meson spectra expected by the constituent quark model. The observed strange and strangeonium spectra are then compared to quark model predictions and discrepancies are pointed out. Interesting puzzles in the data, which may point to hadronic physics beyond the quark model, are discussed. The overview ends with some comments on future directions in strange and strangeonium meson spectroscopy.