Fixed target experiments are a useful tool in the search for very weakly coupled particles in the MeV-GeV range, which are of interest, e.g. as potential dark-matter mediators. The NA62 experiment at the CERN SPS is currently taking data for rare kaon decay measurements. Due to the high beam energy and hermetic detector coverage, NA62 also has the opportunity to directly search for a multitude of long-lived beyond-Standard-Model particles, such as dark photons, dark scalars, axion-like particles, and heavy neutral leptons. We review the status of these searches and give prospects for future data taking at NA62.