There are no archived Ships Passenger Lists for ships sailing from ports in Canada to USA. However, some partial lists do exist. These can be found in the Almshouse Records of New York City from 1819-1855.
These records indicate for each person admitted to the Almshouse the name of the ship they sailed on, the port of departure and a year of admission. Sometimes an exact date of arrival is noted. The Almshouse records from 1819-1855 include Age, Place of Birth, Ship Name, Where From, Captain’s Name and Owner’s Name. For individuals recorded in Almshouse Records 1855-1858 the information includes ship name, date of sailing, and ports of departure and arrival.
You can also consult Border Crossings Canada to USA 1895-1960
See more suggestions at The Genealogy Spot Outbound From Canada pages