Abstract Being capable of mimicking some phenomena inherent in atomic scales, macroscopic periodic structures have been subject to intensive research in the last two decades. Perforated plates, although a very common periodic structure, seem to keep unexplored sound transmission properties, whose study has been triggered by the discovery of Extraordinary Optical Transmission through subwavelength holes perforated in metallic plates while interacting with light. In this work it is shown that perforated plates do not only exhibit full transmission resonant peaks and Wood anomaly minima when the holes are arranged periodically, but also extraordinary sound screening due to the hydrodynamic short circuit arising from the coupling between the plate and the fluid. Furthermore, the role of the geometrical parameters of the perforated plates in the transmission features is also reported here illustrating different strategies to tailor the transmission spectrum. High complexity transmission was observed for periodically perforated aluminum plates immersed in water when the incidence angle is varied. Leaky surface waves coming from the vibration of the plate arise, which is demonstrated using a new theoretical model involving full elasto-acoustic coupling. A complete landscape of the coupling effect is portrayed thanks to the complementary study of solid-solid phononic plate transmission and in-plate wave propagation. As a direct consequence, Scholte-Stoneley-like modes folding and band gap are observed without the need of corrugations or holes. Finally, the transmission properties of individual holes and hole arrays for light, electrons, and sound are put together. The differences are analyzed and discussed here. It has been found that, although for light the hole array itself leads to 100\% transmission and surface bound modes, this is neither the case for sound nor for electrons. Thus, hole resonances are the key mechanism that enables the occurrence of exotic phenomena for sound. The main results mentioned here are thoroughly explained and discussed based on theoretical and experimental data.