Thank you for posting your question on History Hub!
New York arrival records are publicly available through 1957. The records have been digitized and are available via the genealogy subscription sites Family Search and Ancestry. Those sites also have pretty powerful search databases (by name, and some ability to browse through by date and name of ship). We offer them for free public use in all our research rooms. They do require a subscription or at least a login to access from home, though they also may be available for free public use at your local library. Here is some more information including on the original source material - NARA microfilm, and where/how to access that:
If you have access to Ancestry and/or Family Search, here are the specific databases to try. Also the Ellis Island Foundation site has an index as well, and we think it's tied somehow to the same indexing and images on Family Search:
As a specific suggestion, if you can access Ancestry, one thing you can do from their database is browse through various ships that arrived on a specific date. The browsing is available through the main search page, linked above, to the right of the search fields.
