A multilayer system is formed by deposition of 10-35 nm thin Au or Ag film with 18-25 nm diameter holes on 75-280 nm thick layers of porous anodized aluminum oxide (AAO) supported by a bulk sheet aluminum. We present a detailed study of system parameters, which influence the optical response, including porosity, metal layer thickness and crystallographic orientation of Al substrate. The spectral properties are mainly governed by interference of reflections from the Al substrate and the thin metal film separated by the AAO layer. Enhanced plasmonic attenuation component near 650 nm for Au films with holes can be observed when interferometric anti-reflection condition is fulfilled close to this particular wavelength.