"Terrebonne Parish" remained in the Mediterranean until February 1964 before returning to the United States for amphibious exercises in the spring of 1964 at Onslow Beach, North Carolina, and off Cape Pendleton, Virginia. She proceeded to New York City in July 1964 to participate as an exhibit in the New York World's Fair before taking part in an amphibious exercise with Marines and United States Naval Academy midshipmen off Camp Pendleton.