Four ships of the Royal Navy have borne the name HMS Topaze, after the French word for the gemstone Topaz:

There was also a naval trawler named Topaze. She was formerly the trawler Melbourne launched in 1935, and used for anti-submarine training during the Second World War, before she sank after a collision with HMS Rodney in 1941. She does not seem to have been formally commissioned into the Royal Navy, and does not have the HMS prefix.