I shall discuss some measurements from 8 TeV Run I LHC data that showed an excess over 2 sigma with respect to Standard Model expectations. In particular, we shall review the ATLAS di-boson excess, and show a couple of new physics scenarios that explain the excess. If there is time, I shall then discuss some excesses in CMS data: in a W_R search, in a di-leptoquark search and a new physics explanation that has implications for neutrinoless double beta decay.