Terahertz emission spectroscopy (TES) of ultrathin multilayers of magnetic and heavy metals has recently attracted much interest. This method not only provides fundamental insights into photoinduced spin transport and spin-orbit interaction at highest frequencies, but has also paved the way for applications such as e±cient and ultrabroadband emitters of terahertz (THz) electromagnetic radiation. So far, predominantly standard ferromagnetic materials have been exploited. Here, by introducing a suitable¯gure of merit, we systematically compare the strength of THz emission from X/Pt bilayers with X being a complex ferro-, ferri-and antiferromagnetic metal, that is, dysprosium cobalt (DyCo 5 ), gadolinium iron (Gd 24 Fe 76 ), magnetite (Fe 3 O 4 ) and iron rhodium (FeRh). We¯nd that the performance in terms of spin-current generation not only depends on the spin polarization of the magnet's conduction electrons, but also on the speci¯c interface conditions, thereby suggesting TES to be a highly interface-sensitive technique. In general, our results are relevant for all applications that rely on the optical generation of ultrafast spin currents in spintronic metallic multilayers.