We report the evidence of plasmonic-photonic resonances in hybrid metallo-dielectric quasi-crystal nanostructures composed of aperiodically-patterned low-contrast dielectric slabs backed on a metal layer. Via both experimental and numerical studies, we analyze the resonant phenomena with specific reference to the Ammann-Beenker octagonal tiling geometry. We show that, by comparison with standard periodic structures with the same filling factor, a richer spectrum of resonant modes may be excited, characterized by a distinctive plasmonic or photonic behavior. Concerning the possible applications, we explore their surface sensitivity to deposition of nanolayers of materials mimicking bio-molecular binding.