I present a comprehensive analysis of neutrino non-standard interactions (NSI) generated by new scalars in radiative neutrino mass models. For this purpose, I propose a new nomenclature to classify radiative neutrino mass models, viz., the class of models with at least one SM particle in the loop are dubbed as type-I radiative models, whereas those models with no SM particles in the loop are called type-II radiative models. From NSI perspective, the type-I radiative models are most interesting, as the neutrino couples to a SM fermion (matter field) and a new scalar directly, thus generating NSI at tree-level, unlike type-II radiative models. After taking into account various theoretical and experimental constraints, I have summarized the maximum possible NSI in all the type-I radiative models. I also show that the light charged scalars in radiative models could give rise to a Glashow-like resonance feature in the UHE neutrino event spectrum at the IceCube neutrino observatory and its high-energy upgrade IceCube-Gen2, which can probe a sizable fraction of the allowed NSI parameter space. This talk is based on results obtained with K.S. Babu, Bhupal Dev, Anil Thapa, and Yicong Sui and presented in hep-ph 1907.09498 and 1908.02779.