The USS Missouri alongside as a permanent memorial in Pearl Harbor, Hawaii.
Naval theorist Alfred Thayer Mahan envisioned fleets of battleships engaging in decisive battles that would determine the fates of the combatant nations. Few battleship confrontations took place. Tsushima in 1905, Jutland in 1916, and Surigao Strait in 1944 (in which HMA Ships Shropshire and Arunta (I) participated) being the rare examples. None of those battles was decisive, let alone war-winning. Battleships have had their day; none remain in any navy.
The development of air power made battleships vulnerable. Even before the start of the Second World War, aircraft carriers were seen as a better investment than battleships. Just one battleship, HMS Vanguard, was commissioned after 1945.
The Royal Australian Navy has never owned a battleship.