Shorr began his entertainment career during the silent film era but gained acclaim for his TV work, winning the first Emmy for cinematography in 1954. Shorr worked as director of photography for such TV series as "Bonanza", "Alfred Hitchcock Presents", "General Electric Theater", "Ford Star Jubilee", "Union Pacific", "The Rosemary Clooney Show", "Pete and Gladys", "The Beverly Hillbillies", "The Odd Couple" and "Eight is Enough." He also lensed the final gasps of "The Brady Bunch" TV franchise on "The Brady Girls Get Married" and "The Brady Brides". More importantly, Shorr helped pioneer the multiple-camera techniques that are now standard in TV cinematography.
Shorr's feature films were generally low budget genre programmers with titles like "Three Bad Sisters" (1955), "Running Target" (1956), "The Peacemaker" (1956), "Hot Rod Rumble" (1957), "The Quick Gun" (1964), "Ride Beyond Vengeance" (1966) and "The McMasters" (1970). His more illustrious feature credits include the live-action sequences of Chuck Jones and Abe Levitow's "The Phantom Tollbooth" and Woody Allen's feature directorial debut, "Take the Money and Run" (1969).