Abstract: I will review mechanisms of the anomalous Hall effect using the model of massive Dirac fermions as a guiding example. Extensions of the theory to the case of chiral p-wave superconductors will be presented in the context of the Kerr effect and also photogalvanic responses in Weyl semimetals. We will also discuss how multiterminal Josephson junctions can realize quantized anomalous Hall like responses which are governed by the Berry fluxes of the band topology harbored by Andreev states.