New confining gauge theories offer a rich and robust phenomenology, mostly dictated by their accidental symmetries. For example, they naturally contain accidentally stable ‘baryon’ and/or ‘pion’ Dark Matter candidates. Moreover, if the strong sector enjoys chiral and custodial symmetries, it can offer a framework for Composite Higgs models, where the Higgs doublet is a partially-composite light ’pion’. I will discuss how this can be made consistent with the flavor sector of the SM and comment on the main LHC phenomenology both in direct and indirect searches.