CuATSM, a copper(II) complex of a bis(thiosemicarbazone) of diacetyl, prevents oxidative cell death and acts as a neuroprotectant in vivo, prompting its evaluation to treat amyotrophic lateral sclerosis and other neurodegenerative conditions in the clinic. We recently demonstrated that CuATSM functions as a potent radical-trapping antioxidant (RTA), inhibiting lipid peroxidation and associated ferroptotic cell death by a noncanonical mechanism based on radical addition to the ligand backbone. Herein we report our investigations of the generality of this reactivity, which include studies of corresponding complexes of various other metals, including Co, Ru, Ni, Pd, Pt, and Au. Inhibited autoxidations of styrene and dioxane reveal that most of these complexes exhibit RTA activity, consistent with ligand-based reactivity, but the identity of the metal atom nevertheless plays a role. In particular, analyses of the electronic structures of the complexes of metals within the same group (i.e., the group 10 metals Ni, Pd and Pt) highlight how the metal atom can modulate the ligand-based reactivity by enabling spin delocalization to the other thiosemicarbazone moiety. The RTA activity determined in organic solution largely translates to phospholipid bilayers and mammalian cells, where most complexes inhibited lipid peroxidation and associated ferroptotic cell death. A preliminary structure-activity study revealed Pt complexes with potencies eclipsing those of archetype ferroptosis inhibitors ferrostatin-1 and liproxstatin-1, suggesting that Pt (and to a lesser extent Ni) bis(thiosemicarbazone)s may be better suited to optimization for therapeutic development than those based on Cu.