We report high-pressure Raman measurements (up to 27 GPa) on the perovskite-type relaxor ferroelectric BaTi0.65Zr0.35O3(BTZ35). Distinct changes of the Raman spectra with increasing pressure illustrate that BTZ35 presents important pressure instabilities leading to at least two phase transitions around 5.7 GPa and 15.1 GPa, respectively. The observed pressure-induced spectral changes for BTZ35 are reminiscent of features that have been observed for pure BaTiO3, thus for a classic ferroelectric. The latter is surprising since earlier reports indicate a relaxor-characteristic Raman signature as a function of temperature, thus illustrating that BTZ35 might well occupy a peculiar niche in perovskite-type ferroelectrics.