  Associated with some finite dimensional algebras of global dimension at most
2, a generalized cluster category was introduced in \cite{Ami3}, which was
shown to be triangulated and 2-Calabi-Yau when it is $\Hom$-finite. By
definition, the cluster categories of \cite{Bua} are a special case. In this
paper we show that a large class of 2-Calabi-Yau triangulated categories,
including those associated with elements in Coxeter groups from \cite{Bua2},
are triangle equivalent to generalized cluster categories. This was already
shown for some special elements in \cite{Ami3}.
