This talk presents our recent work on high-energy neutrinos. The first part is about our searches for high-energy neutrino emission from radio-bright active galactic nuclei, which were claimed by two papers last year to have a 4.1σ correlation with TeV-PeV astrophysical neutrinos detected by IceCube. The second part presents new signals that IceCube can detect, from W-boson and trident production in the standard model. I will talk about their cross sections and their promising detection prospects in IceCube and IceCube-Gen2.