The transport of oxygen ions plays a central role in determining the performance or the degradation of perovskite‐type oxides in applications as diverse as ceramic capacitors, solid electrolytes, memristive devices and all‐oxide electronics. In this Feature Article, experimental data reported in the literature for oxygen diffusion in SrTiO3 and in related titanate, zirconate and cerate perovskite oxides [CaTiO3, BaTiO3, (Na,Bi)TiO3, Pb(Ti,Zr)O3, CaZrO3, SrZrO3, BaZrO3, SrCeO3, BaCeO3] are reviewed. The two related aims are to draw attention to discrepancies and to identify reliable diffusion data. The physical limit to the diffusivity of oxygen vacancies in a perovskite oxide is also considered.