The other five surviving vessels that hold the distinction of serving in both World Wars are the Medea, which served both the French Navy and Royal Navy, British Monitor HMS M33, the British light cruiser HMS Caroline, the Greek armored cruiser Georgios Averof and the Drazki, a Bulgarian torpedo boat.
The battleship Schleswig-Holstein was built in 1904 and fired the first shots of world war 2, what criteria is your list using?
I made a point of seeing the Texas when I last visited Houston ten or fifteen years ago. I really hope they can keep her in the water. Theres something intrinsically wrong with a warship being permenantly moored in a drydock. Or worse, in landfill like pre dreadnought Mikasa is in Yokosuka.