They has been one under construction in New Jersey, just outside of New York City, since 2003. (Discussed previously in another thread) The project and the Mega-Mall it is attached to has had it's ups and downs and has yet to open. The most ironic setback for the project was that it's roof collapsed under the weight of a heavy snow storm. The recession, poor planning, bad luck, and a variety of other factors all contributed to preventing the mall and ski dome from opening.
The site was acquired by Triple Five, famous for the Mall of America in MN. The optimists around here hope that the upcoming SuperBowl to be played in 2014 at the adjacent Giants Stadium will motivate the owners to get the mall and the ski slope ready for prime time TV and open next year.
Here is a vid of it partially completed taken in 2009 when it was slated to open in 2010:
http://www.youtube.com/watch?v=kGa_cGpbWTE