Even though no new particles were discovered at the LHC so far, LHCb found deviations from the standard model predictions in b->smumu transitions with a significance above the 4 sigma level. Furthermore, CMS found hints for the decay h->taumu and BaBar, BELLE and LHCb observed hints for lepton flavour non-universality in tauonic B decays.
In this talk I review various possibilities how to explain these deviations from the SM expectations in some NP models. Possible candidates are models with leptoquarks, but especially Z' models with additional Higgs doublets provide a well motivated explanation of the anomalies and predict interesting correlations, for example in tau->mumumu, and could also be directly discoverable at the LHC.