$642 - Direct Flights to Brussels from New York City
Total flight time each way is about 8 hours.
While its not the best time of year to fly to Central America or the Caribbean, direct flights to Europe can be a welcome alternative, especially in the fall, before the northern parts of Europe get too cold.
It looks like this flight price to Brussels will continue through December, so you could even book a flight around then, then catch a train south into the German, Swiss, or French alps.
$650 is cheap for a direct flight to Europe, though I expect a few cheaper flights to be announced in the next month or so, especially into German cities or Amsterdam.