Abraham has focused on stage work throughout his career, giving notable performances as Pozzo in Mike Nichols's production of Waiting for Godot, Malvolio in Twelfth Night for the New York Shakespeare Festival, and Shylock in The Merchant of Venice for the Off-Broadway Theatre for a New Audience (TFANA) in March 2007, which was performed at the Duke Theatre in New York and also at the Swan Theatre, part of the Royal Shakespeare Company. He reprised this role in February 2011, when he replaced Al Pacino in the Public Theater's production. In the 1997/98 Broadway season, he starred in the new chamber musical Triumph of Love opposite Betty Buckley, based on Marivaux's classic comedy. The production did not find a large audience, running 85 performances, after its pre-opening preview period. He has also taught theater at Brooklyn College. In 2016, he played the title role in Classic Stage Company's production of Nathan the Wise.