Villadsen algebra is a class of simple unital approximately homogeneous (AH) C*-algebras which are not Z-stable. This class contains C*-algebras which share the same value of the conventional Elliott invariant with an AI algebra but are not isomorphic to that AI algebra. Hence Villadsen algebras are not covered by the classification theorem with the conventional Elliott invariant. In the talk, I will report a recent classification of the Villadsen algebras with seed spaces finite products of a given contractible space, and then discuss the trace simplex of the Villadsen algebra.