Long and short gamma-ray bursts (GRBs) generally occur within galactic environments with small to moderate background densities, but massive stars and binary neutron stars — ideal progenitors for such bursts — are also expected to exist within the dense environments of accretion disks around supermassive black holes in active galactic nuclei. This prompts us to ask whether there are any particular signatures that characterize these bursts, telling them apart from their cousins in less dense environments, whether it is possible to detect them, and whether they can tell us something new about GRBs and the progenitor population. I will give an overview of recent results on this topic, discussing not only the expected electromagnetic signatures and observed candidates, but also some dynamical aspects that affect the merger phase of binary neutron star or black hole-neutron star systems.