Current B-physics data contain several intriguing tensions, possibly revealing a pattern of New Physics contributions in b-s transitions. Even though these tantalizing hints are not conclusive yet, it is tempting to speculate about their possible explanation in terms of New Physics models, in particular in scenarios linking the anomalies to other open problems. In this talk we will review the proposed models and explore possible connections to the dark matter of the Universe and the origin of neutrino masses, showing that the b -> s anomalies might be just the first glimpse of a whole New Physics sector.