Clean Shipping Act of 2022 This bill directs the Environmental Protection Agency (EPA) to require vessels on certain commercial voyages to comply with standards for the carbon intensity of the vessel's fuel on a specified schedule, with vessels on such voyages utilizing 100% less than the carbon intensity baseline by 2040 and beyond. Additionally, the EPA must promulgate and continually revise standards to eliminate emissions of specified greenhouse gases and air pollutants associated with vessels at anchorage or at berth in the contiguous zone of the United States.