Two-dimensional (2D) layered hybrid bromoplumbate perovskites are promising candidates for solution-processed light-emitting materials. Here, we report the synthesis and characterization of two novel layered bromoplumbates: (4BrPhMA)2PbBr4 (1) and (4BrPhA)6Pb3Br12 (2), where 4BrPhMA is (4-bromophenyl)methylammonium and 4BrPhA is (4-bromophenyl) ammonium. Despite similar optical absorption, these materials show remarkably different photoluminescence properties: 1 emits a narrow exciton band at ca. 395 nm with a very small bandwidth (particularly at low temperatures of 15-50 K) and Stokes shift, while 2 exhibits a broad emission at ca. 560 nm with a large Stokes shift, both at low and ambient temperatures. However, under several kbar of hydrostatic pressure, the broad emission diminishes and a new band reversibly develops at ca. 395 nm, similar to that in 1. Our results emphasize organic layer flexibility as an important design factor for this class of perovskite-like materials featuring broadband emission.