the U.S. Navy fields
the RUM-139 Vertical Launch Anti-Submarine Rocket (VL-ARSOC), which is fired from standard
Mk 41 Vertical Launch System cells and carries a Mk 54 lightweight torpedo. Another example is the Russian RPK-6, a Soviet-era design that NATO also calls the SS-N-16 Stallion, which is curiously fired first into the water from a torpedo tube before blasting off into the sky, something you can read about in more detail in this
past War Zone piece. There are also already at least one supersonic design, Japan's
Type 07 vertically-launched anti-submarine rocket, in service.