  We will give an overview of the "third way consistent" theories. Field
equations of such models do not come from the variation of a local action
without auxiliary fields, yet their covariant divergences still vanish
on-shell. First examples were discovered in three dimensions which were pure
massive gravity and Yang-Mills theories. However, recently interacting $p$-form
theories with this property in arbitrary dimensions were also constructed.
After explaining construction of these theories and some of their general
features, we will discuss some open problems and future directions
