According to Donna Masly at RIOC, the current film production on the island is that of the new Fox TV show “New Amsterdam”. The premise of this show is that it's central character John Amsterdam is immortal and has been living in New York City for 300 years and is as much part of the City as the City is part of him.
A synopsis of the show per TV.com is as follows:
New York City homicide detective John Amsterdam is cursed with immortality because he stopped the murder of a Native Indian girl in 1642 by stepping in front of a sword. Due to this act of kindness, the Indian girl rescued Amsterdam from the stab wound by making him immortal, but warns that it is a curse that will only be lifted when John meets his true love.
You can watch a clip from the series premier HERE on TV.com. According to the TV.com website the series should premier January 2008.
Perhaps the Native Indian girl was from Minnahanock Island. If you don’t recognize that name it was the earliest known name for Roosevelt Island.
Update: Video per YouTube
The graphic showing the buildings sprouting up in the background is cool.