FWIW,to those who couldn't answer but could not resist the temptation to sneer, the best figures available are just over 1100 per day in 2005, but probably estimated at 600 to 800 now due to the financial downturn and the use of larger aircraft. Despite this setback, I am still hoping there is an authority which measures the traffic reliably. The question is still open for sensible answers.
For the record, you didn't ask for a source or a reference you could use to determine the data you required, you asked the Forum members to tell you the answer to your query.
Can anyone tell me the total number of airline flights E-W and W-E each day between North America and Europe? Destinations include the U.S. and Canada and all European countries as far as Russia.
Absent some background info in your original request, we assumed the question came from some 14YO kid and responded accordingly. Not that we've seen anything yet from you to change our original opinion.