FASER, the ForwArd Search ExpeRiment, has successfully taken data at the LHC since the start of Run 3 in 2022. With 2022 data alone, FASER directly detected the first muon and electron neutrinos at the LHC, opening the window on the new subfield of collider neutrino physics. In this paper, we will give a full status update of the FASER and FASERnu experiments and their latest results, with a particular focus on our very first measurements of neutrino cross sections in the TeV-energy range, along with its implications for far forward hadron production.