[en] The collective plasmon-polariton excitations in finite Fibonacci semiconductor superlattices, which are subjected to a static magnetic field applied parallel to the interfaces, are studied by using local-field theory with retardation. We find that for a given in-plane wave vector, the discrete modes are composed of pseudobands and show rich self-similar patterns. The dispersion relations of the modes are obviously modified by the application of the magnetic field, and the propagation of the surface waves shows remarkable nonreciprocal behavior in the field. A number of coupled guided modes are found when the retardation effects are taken into account. We plot the profiles of the amplitudes to investigate the localization properties of the polaritons. The results show that those modes isolated from the pseudobands are localized, the modes located in the pseudobands are extended, while those located at the edges of the bands are critical