Are any two approaches or takeoffs identical?

It seems to me from my observation of the the approaches into YYZ (often over my house) that no two approaches are identical until the planes get within the last two or three miles of the runway.

Is it safe to assume that no two flights take exactly the same path on take-off or do they in fact usually follow exactly the same "roadway in the sky?"

Is anyone aware of a site that actually tracks flight paths or where one could find any useful information on this question?