This article examines the occurrence of mesoscopic effects in superconductor-ferromagnet hybrids. It begins with an overview of theories underpinning superconducting/ferromagnetic (S/F) hybrid structures, focusing on their vortex nucleation conditions and vortex behavior as well as the localized nucleation of superconductivity in an ideal S/F system. It then presents experimental measurements of the localized superconducting state in the cases of domain wall and reverse domain superconductivity, along with the vortex state in planar S/F hybrids. In particular, it considers nucleation thresholds for superconducting vortices and equilibrium vortex configurations. Finally, it discusses the results of local scanning probe measurements of the novel mesoscopic effects that emerge in magnetically coupled S/F hybrid structures in the absence of proximity effects.