My husband and I set aside at least one night for a date night during every family vacation at Walt Disney World. You and the other adult chaperones will be pleased to know that when it comes to fine dining, Disney doesn't disappoint. Here are some recommendations:
Artist Point - located in the Wilderness Lodge, this restaurant features Pacific Northwest specialties and boasts an impressive wine list.
Jiko - This signature restaurant inside of the Animal Kingdom Lodge has a menu inspired by the flavors of Africa, yet the offerings are familiar to what you're likely accustomed to eating on a regular basis.
Hollywood Brown Derby - In case you would like to dine inside a theme park, this is an ideal choice. Gourmet American cuisine is served here in surroundings that replicate the original Brown Derby.
These are my top three choices, but rest assured that there is no shortage of fine dining opportunities at WDW. You may also want to consider
California Grill,
Narcoossee's, or
Bistro de Paris.
Good luck with your decision!