Right now, several methane-fueled rockets are in a race to orbit. With Starship from SpaceX, Vulcan from United Launch Alliance (ULA), and Neutron from Rocket Lab, all of the most active US launch providers are committed to using methalox-methane and oxygen.
Upcoming launchers such as New Glenn from Blue Origin and the Terran family from Relativity Space are also on the way toward flight, while the Chinese ZhuQue-2 rocket from Landspace may even be a favorite to fly before any of the American vehicles.