We investigate the physics of collective decay in ordered arrays. The decay of a fully inverted ensemble of atoms at a single point is well known: the emitted light initially grows in intensity and photons are emitted in a short ``superradiant burst’’. However, atoms separated by large distances act independently and their decay is exponential, monotonically decreasing in time. What happens in the intermediate regime, where atoms have finite separation but still behave collectively, is still an open problem. While experiments in dense disordered systems have shown that the superradiant burst still occurs, inhomogeneous broadening plays a large role, making the systems hard to model or control. In contrast, ordered arrays have much lower inhomogeneity - atoms in the bulk all see the same set of neighbors - making them an ideal platform to study dissipative many-body physics. Here, we show the conditions under which such systems produce a superradiant burst. We go beyond two-level approximations, and demonstrate that long-wavelength transitions from Ytterbium and Strontium atoms can be used to observe such physics. Our work represents an important step in harnessing such systems to build quatum optical sources and as dissipative generators of entanglement.