I agree when you say America did something significant in the war, but Canada? They just played a bit-part, I'm sorry.
Normandy beaches (at the top of my head, so I may be wrong):
Gold: Britain
Sword: Britain
Juno: Canada
Utah: America
Omaha: America
Now, let's talk about the Normandy landing. America got the sh*t end of the stick by being assigned the western most beaches, Omaha and Utah. If I'm not mistaken, the 29th Infantry Division died the most on Omaha. Canada got the one in the middle and didn't find much resistence. Britain took the West and again didn't find much resistence.
Normandy Landings: Americans 1. Britain 0. Canada 0.
Let's talk about the Battle of Britain:
This made a significant difference in the outcome of the war. For one thing, had Britain fallen, I doubt America would be fighting in Europe at all. From where? Without Britain defeating Hitler's attempt for an invasion (Operation Sealion), Germany would have controlled the Atlantic shipping lanes, not to mention America would have to start the conquest of Europe from North Africa.
America 1. Britain 1. Canada 0.
North Africa:
Montgomery defeats Rommels Africa Corps. America arrives towards the end of the conflict when Rommel already has decided the battle is lost and Hitler decides to appoint him in the defence of France with the remnants of his Afrika Corps.
America 1. Britain 2. Canada 0
Operation Market Garden.
A failed attempt, but a near miss. I would put this down as an American led operation as they were the dominant force by far.
America 2. Britain 2. Canada 0
Invasion of Italy.
Again, even though not as successful as hoped, and despite a war attrocity by the Americans (the killing of civilians at Montecassino), a near miss thing and I would split this as half an American operation and half British.
America 3. Britain 3. Canada 0
I would say these are the major operations in Europe in the Second World War. I left out the Battle of France because that was very unsuccessful as opposed to Operation Market Garden and Invasion of Italy which were very nearly successful. Invasion of Italy did in fact succeed a little later on, in fact.
Can someone name a major contribution by Canadian forces in Europe in the Second World War? Cos I can't.
Yes, they did play their part, just like the Australians, Indians and French resistence did. But that is all my friends.