It is well known that AF-embeddable C*-algebras are quasidiagonal, and quasidiagonal C*-algebras are stably finite. Also for certain class of C*-algebras including graph C*-algebras and higher rank graph C*-algebras, these three properties are known to be equivalent while this is not the case in general. In this talk we discuss the properties with C*-algebras associated to labelled graphs.