By ship name
| Ship | Year | Origin | Destination |
| IDAHO | 1871 | Queenstown | New York |
| IDAHO | 1877 | Queenstown | New York |
| IMMANUEL KANT | 1851 | Cork | New York |
| INDEPENDANCE | 1803 | Londonderry | New York |
| INDIA | 1871 | Moville | New York |
| INDIA | 1871 | Moville | New York |
| INDIA | 1873 | Moville | New York |
| INDIAN EMPIRE | 1858 | Galway | New York |
| INDIANA | 1862 | Liverpool | Argentina |
| INDUSTRY | 1851 | Sligo | New York |
| INDUSTRY | 1851 | Dublin | New York |
| INEZ | 1831 | Londonderry | Wilmington |
| INFANTRY | 1850 | Liverpool | New York |
| INTRINSIC | 1848 | Liverpool | New York |
| INTRINSIC | 1852 | Tralee | New York |
| IPSWICH | 1848 | Liverpool | Argentina |
| IRVINE | 1852 | Tralee | New York |
| ISAAC WEBB | 1870 | Liverpool | New York |
| ISAAC WRIGHT | 1850 | Liverpool | New York |
| ISABELLA | 1837 | Liverpool | Argentina |
| ISABELLA | 1843 | Liverpool | Argentina |
| ISABELLA | 1844 | Liverpool | Argentina |
| ISABELLA | 1848 | Liverpool | Argentina |
| ISABELLA | 1850 | Liverpool | Argentina |
| ISABELLA | 1851 | Liverpool | Argentina |
| ISABELLA | 1857 | Liverpool | Argentina |
| ISTRIA | 1858 | London | Argentina |
| ISTRIA | 1860 | Liverpool | Argentina |
| ISTRIA | 1861 | Liverpool | Argentina |
| ISTRIA | 1862 | Liverpool | Argentina |
| ISTRIA | 1864 | Liverpool | Argentina |
| ISTRIA | 1866 | Liverpool | Argentina |
| ISTRIA | 1867 | Liverpool | Argentina |
| ITALIA | 1852 | Dublin | New York |
| ITALY | 1876 | Queenstown | New York |
| ITALY | 1877 | Queenstown | New York |
| ITALY | 1877 | Queenstown | New York |
| IVENIA | 1909 | Westport | Boston |
| IVERNIA | 1909 | Queenstown | New York |