After the discovery of the Higgs boson on 2012, particle physics has entered an exciting era. One important question is to test whether the resonance observed and measured by the LHC experiments indeed corresponds to the Higgs boson predicted by the SM, or whether it is part of a more extended scalar sector. In this talk, I will briefly discuss several models that comply with current bounds from theory and experimental observations, while predicting new states, and will discuss discovery prospects at current and future colliders. I will also make a link to dark matter observables for models containing dark matter candidates.
