Factual error: In the opening narrative about the first person to call out "America", as the ship passes the Statue of Liberty, it's traveling in the wrong direction - with the Statue entering the screen from the viewer's left and moving toward the right; a direction that would have taken the ship from Manhattan to Staten Island (or through the Straits into the Atlantic).
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Mistakes
In the opening narrative about the first person to call out "America", as the ship passes the Statue of Liberty, it's traveling in the wrong direction - with the Statue entering the screen from the viewer's left and moving toward the right; a direction that would have taken the ship from Manhattan to Staten Island (or through the Straits into the Atlantic). See more...
The Legend of 1900 mistakes
Continuity: Near the middle of the movie when 1900 and his best friend meet for the first time, the ship is tossing and turning and his friend vomits into a bowl or a shallow vase, then the camera angle switches and you can see inside the bowl and it's empty
Continuity: When they are having the "piano duel", Jellyroll Morton stands up in front of the piano, and his chair slides back about a metre, the scene cuts to the audience, and then when it comes back a second later, the chair is back right behind him again.