The research presented in this thesis reports on experimental investigations into photon-photon interactions facilitated by strongly interacting microcavity polaritons. We use a highly flexible fibre Fabry-Pérot microcavity setup to impose photonic-mode confinement of the polariton mode to create zero-dimensional polariton boxes. The strong optical confinement afforded by the geometries of the fibre mirror, polariton interactions are effectively enhanced,introducing significant system nonlinearities noticeable at the single particle level. This nonlinear behaviour results in the polariton blockade regime where the system can only support one polariton at a time and observable through the antibunching of the transmitted photons.