on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
on algebras over an operad, on modules over an algebra over an operad
on dendroidal sets, for dendroidal complete Segal spaces, for dendroidal Cartesian fibrations
Every category $C$ with limits and colimits becomes a model category by setting
the weak equivalences are the isomorphisms;
every morphism is a fibration;
every morphism is a cofibration.
This model structure regards $C$ as an (∞,1)-category with only trivial k-morphisms for $k \geq 2$.