Ancestry.com has a database titled BORDER CROSSINGS:  From U.S. to Canada, 1908-1935 .  There are 8,589 people listing Greece as their place of birth.   Remember, if you don't have a subscription to Ancestry.com, you can access it for FREE at most public libraries. DATABASE DESCRIPTION This database contains records of immigrants crossing into Canada from the United States between 1908 and 1935. These records consist of border entry lists and Form 30 (individual entry forms). Historical Background: In April 1908, the Canadian government began recording the names of immigrants crossing into the country from the U.S. These records are the official immigration records for Canada as no other immigration records exist. From 1908-1918, the government used border entry lists to record information about individuals coming into the country. From 1919-1924, Form 30 (individual form) was used in place of the border entry lists to record similar information. In 192...

FamilySearch.org has a FREE database titled CANADA, PASSENGER LISTS, 1881-1922 which has 6,871 people listed with Greece as their place of birth.   You will be able to view the actual Passenger Manifest. RECORD DESCRIPTION from Family Search These records include indexes and images of ships' passenger lists (also known as ships' manifests or seaport records of entry). Contains records for the ports of: Quebec City, 1900-1921; Halifax, 1881-1922; Saint John, 1900-1912; North Sydney, 1906-1912; Vancouver, 1905-1912; Victoria, 1905-1912; New York, 1906-1912; Eastern US Ports, 1905-1912. The lists for United States ports include only those names of passengers with intentions of proceeding directly to Canada. The Canadian government did not keep lists of emigrants. Before 1947 there was no Canadian citizenship separate from British, and Canadians moved freely throughout the British Empire. Before 1895, when the United States government began keepi...

On November 25, 2009 Ancestry.ca completed the online launch of the Canadian Passenger Lists, 1919-1924 . I visited Ancestry.com and did a search in this new database for people born in Greece -- 1,065 results were returned. As usual, there are some results that don’t seem to make sense, but most are Greek surnames. If you have ancestors that arrived in Canada during the 1919-1924 time frame, this may be a very helpful resource. Apparently this is the only online source for this data to-date. Remember that if you don’t want to purchase a membership to Ancestry.com, most libraries have an Ancestry.com version that you can use in the Library for FREE. - Also, Ancestry.ca is currently offering a 14 day free trial.