We've been stuck in hurricanes over at Disney quite frequently. Most of the time it seems that when there's a hurricane we somehow end up at one of the Port Orleans resorts, though once we stayed during a hurricane at the All-Star Sports. When staying at the Port Orleans Resorts, as well as the All-Star, they showed Disney movies, as well as non-Disney movies on many of the TV channels, but otherwise that's the only special entertainment they provided. However, we did plan in advance and brought some books with us and some stuff for drawing/coloring. At the Port Orleans Resorts, once the hurricane lightened up we were allowed out of our room ad to the lobby and food court areas, we weren't allowed to do this at the All-Star as even with just minor winds they were having problems with palm trees snapping in half and they didn't want anyone outside walking around.
Upcoming Trips to WDW:
Dec 6-10: Disney Wonder
Dec 10-19: Port Orleans French Quarter