Could you clarify what you're asking about? The Missouri wasn't the only WW2 era ship to be reactivated - her sister ship Wisconsin also engaged targets during the Gulf War. The carrier USS Midway, which was launched in September 1945, was also in service for the Gulf War. If we count other navies than the American, then the last Fletcher class destroyer exited active service as late as 2001. WW2 era ships were common sights in the navies of lesser powers throughout the latter half of the twentieth century - the British carrier HMS Vengeance, launched in 1944, ended its life as the Brazilian Minas Gerais in 2001, while her sister ship Venerable served with both the Dutch and Argentinian navies after passing out of British service.
In addition to the response by /u/thefourthmaninaboat, note that many Essex-class carriers were decommissioned after the war only to be recommissioned after modernizations. Some went on to be fleet carriers (CVA's), and others went on to be anti-submarine carriers (CVS's) and amphibious assault/helicopter carriers
Also, the USS Midway and her sister ships the Coral Sea and Franklin D. Roosevelt served for decades after WW2, with the Midway retiring after one last tour of service in the Gulf War, and the Coral Sea just a year earlier - nearly 50 years of service for both ships
There's an interesting case of the IJN Tachibana-class destroyer Nashi. She was sunk in a USN airstrike in July 1945 and settled into the Kure Harbor. Nearly ten years later the JMSDF refloated her and reconstructed her as a radar trials ship. Rechristened Wakaba, she featured large radar dishes atop her superstructure and served in the JMSDF until 1971.