Similar to organoammonium cations that template the well-studied layered perovskites, organosulfonium cations template the layered Pb–Br hybrid (tms)4Pb3Br10 (1; tms = (CH3)3S+). Upon ultraviolet excitation, this colorless, organic-inorganic hybrid exhibits broad red/near-infrared photoluminescence (PL) with a massive Stokes shift of ca. 1.7 eV. A suite of PL measurements suggests that the broad emission is an intrinsic property of the material. We ascribe this emission to radiative recombination of self-trapped excitons in the inorganic sublattice, which features both face- and corner-sharing Pb–Br octahedra. We further demonstrate that complex sulfonium-based cations can expand this family of lead-halide hybrids while maintaining the broad, Stokes-shifted PL. The use of more exotic main-group cations affords an exciting opportunity for synthetic chemists to expand the phase-space of semiconducting hybrids with unusual properties for potential applications in optoelectronics.