This review article by Stephen F. King and Christoph Luhn discusses neutrino mass and mixing, focusing on model-building strategies based on discrete family symmetry. The authors provide an overview of neutrino physics, including the PMNS mixing matrix and the latest global fits following the Daya Bay and RENO experiments, which measured the reactor angle. They describe various lepton mixing patterns such as bimaximal, tri-bimaximal, and golden ratio mixing, and the deviations required for a non-zero reactor angle. The article reviews different types of see-saw mechanisms and the sequential dominance mechanism, and introduces finite group theory as a framework for discrete family symmetry. The authors then detail the direct and indirect model-building approaches, including mechanisms for flavon vacuum alignment. They also discuss grand unified theories (GUTs) and their combination with discrete family symmetry to describe quark and lepton masses and mixing. Finally, they present three model examples combining an $SU(5)$ GUT with discrete family symmetries $A_4$, $S_4$, and $\Delta(96)$. The review highlights the impact of the Daya Bay and RENO experiments on the landscape of neutrino mass and mixing models, emphasizing the need for high-precision knowledge of lepton mixing angles.This review article by Stephen F. King and Christoph Luhn discusses neutrino mass and mixing, focusing on model-building strategies based on discrete family symmetry. The authors provide an overview of neutrino physics, including the PMNS mixing matrix and the latest global fits following the Daya Bay and RENO experiments, which measured the reactor angle. They describe various lepton mixing patterns such as bimaximal, tri-bimaximal, and golden ratio mixing, and the deviations required for a non-zero reactor angle. The article reviews different types of see-saw mechanisms and the sequential dominance mechanism, and introduces finite group theory as a framework for discrete family symmetry. The authors then detail the direct and indirect model-building approaches, including mechanisms for flavon vacuum alignment. They also discuss grand unified theories (GUTs) and their combination with discrete family symmetry to describe quark and lepton masses and mixing. Finally, they present three model examples combining an $SU(5)$ GUT with discrete family symmetries $A_4$, $S_4$, and $\Delta(96)$. The review highlights the impact of the Daya Bay and RENO experiments on the landscape of neutrino mass and mixing models, emphasizing the need for high-precision knowledge of lepton mixing angles.