This is a list of the 30 largest container shipping companies as of 11 August 2022, according to Alphaliner, ranked in order of the twenty-foot equivalent unit (TEU) capacity of their fleet. ... List of largest container shipping companies. Rank1 Company nameMediterranean Shipping Company (MSC) HeadquartersSwitzerland/ Italy Total TEU4,471,789 Ships690 29 more columns