Never really fancied America but you just have to go to New York City once in your life. Shopping, the sights, the theatre. Go up the Empire State Building, The Chrysler Building and the Statue of Liberty (even if it isn't in New York State!
The Eiffel Tower, Paris France. Went to the top at dusk in 2007 and watched the sun set. The tower is spectacular at night especially when it flashes with white lights each hour. It looks like a diamond sparkling!