Abstract: Sunada's method has been used extensively to produce examples of non-isometric yet isospectral pairs of Riemannian manifolds. However, all previous "Sunada-like" examples have been locally isometric and have non-trivial fundamental groups. During this talk we will demonstrate that Sunada's method can yield isospectral normal homogenous spaces which are simply-connetced and locally non-isometric. If time permits we will also show that these examples allow us to comment on a theorem of von Neumann concerning the spectral rigidity of group actions.