The United States did not require list of passengers (immigrants) until 1820. There are a few lists for the port of Philadelphia between 1805-1819. Some naturalization records prior to about 1835 include the name of the ship and./or date someone arrived.
Dear Mr. Davis,
Thank you for posting your request on History Hub!
As the previous poster mentioned, the U.S. Federal Government did not require captains or masters of vessels to present a passenger list to U.S. officials until 1820. As a general rule, there are no NARA passenger lists of vessels arriving before 1820. Customs officials at each port did maintain lists of vessels arriving at the port. The National Archives has customs records for the Port of New York that were microfilmed as NARA Microfilm Publication M1066: Register of Vessels Arriving in New York from Foreign Ports, 1789–1919 (27 rolls) with ship information that includes country of origin, date of entry, and last port of embarkation. Name of the vessel was not recorded until January 1819. Rolls 21–22 and 26–27 include lists that correspond to the immigration manifests. For information about passenger arrival records for immigrants arriving before 1820, you should rely on printed sources.
We searched WorldCat and located the books Passenger and immigration lists bibliography, 1538-1900 : being a guide to published lists of arrivals in the United States and Canada, and Ship passenger lists : New York and New Jersey, 1600-1825 that may contain the information you seek. Please check for the nearest library having a copy. Some of the lists from these publications have been digitized and are available on Ancestry. There may be a fee for using Ancestry. Instead, please check for access at your local library as many library systems subscribe to these sites, making them free for their patrons.
In addition, we suggest that you review the web pages Ships Passenger Lists to USA by Year of Arrival and Immigration and Ships Passenger Lists Research Guide.
We hope this is helpful. Best of luck with your research!