This paper addresses the status of major open questions in physics: CP violation in the leptonic sector and baryon decays. CP violation has not been measured in the leptonic sector yet and current long baseline neutrino experiment as T2K and NOvA are pursuing it whilst future experiments as DUNE and Hyper-Kamiokande will be able to give a definitive answer. An overview of the current status and future sensitivites is presented. Neutrino experiments can also be used to search for baryon decays, predicted by Grand Unification Theories, for which we present an overview of the current limits and future sensitivities.