The correct answer is A) Federal Communications Commission. The Federal Communications Commission (FCC) is the organization that issues licenses for the operation of VHF and SSB radiotelephone stations aboard offshore rigs and other maritime vessels. This is because the use of these radio communication systems falls under the FCC's regulatory jurisdiction over the use of the radio frequency spectrum in the United States. The other options are incorrect because the Minerals Management Service, the Department of Energy, and the U.S. Coast Guard do not have the authority to issue licenses for the operation of maritime radio communication equipment. Their responsibilities are in other areas related to offshore energy operations and maritime safety, but not the licensing of radio stations.