Just the water parks. The only times Disney theme parks have ever closed for weather have been in advance of approaching hurricanes.
8/31/85 Hurricane Elena, 5 PM closure
8/2/95 Hurricane Erin, delayed opening
9/14-15/99 Hurricane Floyd, 1.5 day closure
8/14/04 Hurricane Charley, 1 PM closure
9/3-4/04 Hurricane Frances, 2 day closure
9/25/04 Hurricane Jeanne, 1 day closure
10/24/04 Hurricane Wilma, 1 day closure