Suppose we have a group $G$ then one can construct $BG$ and one of the essential part of the construction is the co-unit map. Now suppose we have a ring spectrum $R$, then having a co-unit splits the ring spectrum as $R = S \vee R'$, which is never an interesting case.
So my question is what is the best one can do? I know its a vague question. But is there an alternative thing that one can do, which closely resembles bar construction that one does for a group?