A broad physics program using $K^+$ mesons is pursued at CERN by the NA62 experiment.
After having taken data in 2016,17 and 2018, the experiment resumed data taking in 2021 and is approved until CERN long shutdown 3.
Recent results of NA62 on rare kaon decays are reviewed, concerning new physics searches, studies of low energy effective theories, searches for effects of lepton flavour, number and universality violation, and searches for production of feebly interacting particles predicted by dark scalar models.
The future of kaon physics at CERN is also discussed.