He did a great deal of Shakespearean work, notably as Ariel in "The Tempest" opposite John Gielgud's Prospero in 1958, and at the Stratford Festival in Canada including Angelo in "Measure for Measure", Malvolio in "Twelfth Night" and the title role in "Richard III" directed by Robin Phillips, and The Public Theater's New York Shakespeare Festival Shakespeare in the Park productions of "As You Like It" (as Jaques), and "Timon of Athens" (as Timon) on Broadway, with the National Actors Theatre in 1993. Bedford's additional Broadway credits include "The Seven Descents of Myrtle", "Private Lives", "Two Shakespearean Actors", "London Assurance" and "Jumpers".