Solid-state batteries currently receive ample attention due to their potential to outperform lithium-ion batteries in terms of energy density when featuring next-generation anodes such as lithium metal or silicon. One key remaining challenge is identifying solid electrolytes that combine high ionic conductivity with stability in contact with the highly reducing potentials of next-generation anodes. Fully reduced electrolytes, based on irreducible anions, offer a promising solution by avoiding electrolyte decomposition altogether. In this study, we demonstrate the compositional flexibility of the disordered antifluorite framework accessible by mechanochemical synthesis and leverage it to discover irreducible electrolytes with high ionic conductivities. We show that the recently investigated Li ₉N ₂Cl ₃ and Li ₅NCl ₂ phases are part of the same solid solution of Li-deficient antifluorite phases existing on the LiCl-Li ₃N tie line with a general chemical formula of Li _1+2xCl _1−xN _x (0.33 < x < 0.5). Using density functional theory calculations, we identify the origin of the 5-order-of-magnitude conductivity increase of the Li _1+2xCl _1−xN _x phases compared to the structurally related rock-salt LiCl phase. Finally, we demonstrate that S _Cl- and Br _Cl-substituted analogues of the Li _1+2xCl _1−xN _x phases may be synthesized, enabling significant conductivity improvements by a factor of 10, reaching 0.2 mS cm ⁻¹ for Li _2.31S _0.41Br _0.14N _0.45. This investigation demonstrates for the first time that irreducible antifluorite-like phases are compositionally highly modifiable; this finding lays the ground for discovery of new compositions of irreducible antifluorite-like phases with even further increased conductivities, which could help eliminate solid-electrolyte decomposition and decomposition-induced Li losses on the anode side in high-performance next-generation batteries.