In 1996, Cuccioli was given the Joseph Jefferson Award for his role in "Jekyll and Hyde", for which he also won the Outer Critics Circle Award, the Drama Desk Award, and the Fany Award.
In 1996, Cuccioli was given the Joseph Jefferson Award for his role in "Jekyll and Hyde". For that role, in 1997 he also won the Outer Critics Circle Award, the Drama Desk Award and the Fany Award.