Here's a taste of what you'll find. Flying out of New York City you can get to Stockholm for $283, Oslo for $335.10, and Copenhagen for $394.40. From Boston fly to Oslo for $284.70, Copenhagen for $338.40, and London for $406.40. Fort Lauderdale has flights to Stockholm for $317.50, Oslo for $342.20, Copenhagen for $410.40, Barcelona for $414, and Paris for $424.60.
From the west coast, you can get tickets from Los Angeles to Stockholm for only $360.70, to Oslo for $415.70, to Paris for $566.60, and to London for $589.80.
As always, a word of warning: Tickets go quickly, so these prices might not be there unless you get on it. Also, Norwegian is a budget airline. That means ticket prices can increase quickly with baggage fees and fees for other conveniences. If you truly want to get to Europe on a budget, you'll need to pack light and check ahead for what kind of fees you could be facing.