If you need super heavy-duty cooling, then phase change systems for water can transfer literally gigawatts of heat power because of how much energy it takes to turn water into steam.

This is effectively what most steam turbine based power plants do after all. A few kg/s through a pipe of steam is many megawatts of enthalpy. If you look at h_fg on a steam table, you can see it's like more than 2 megajoules per kg or so.

For more familiar numbers divide everything by a thousand. Just half a gram of steam per second is over a kilowatt.