Abstract: It has been known for some time that the black hole uniqueness theorem does not extend to higher dimensional spacetimes. I will argue that the classification of five dimensional asymptotically flat black hole solutions is far from complete, even for solutions with the same symmetry as the known spherical black holes and black rings. I will illustrate this by presenting two novel supersymmetric black hole solutions to five dimensional supergravity. The first is a black hole with a horizon of lens space topology: a black lens. The second is a spherical black hole with an exterior region which possesses non-trivial topology (a 2-cycle). The latter solution may carry the same conserved charges as the known spherical black hole (BMPV), thereby demonstrating black hole non-uniqueness even amongst spherical black holes.