We present herein the most recent BABAR results on direct CP asymmetry measurements in B -> Xs gamma, on partial branching fraction and CP asymmetry measurements in B -> Xs l+l-, on a search for B -> pi/eta l+l- decays, on a search for lepton number violation in B -> X-l+l'+ modes and a study of B-> omega omega and B-> omega phi decays.
Comment: 15 pages, 15 Figures, invited talk at the Discrete Symmetry workshop, Kings College, London, December 2-5, 2014