Many of Disney's deluxe resorts have balconies. These include: Wilderness Lodge, Grand Floridian, Yacht & Beach Club, Boardwalk, Polynesian, Animal Kingdom Lodge, as well as some of the Disney Vacation Club villa lodgings.
Some of the balconies at WDW overlook parking lots or wooded areas, but there are many truly special views to be had from other Disney balconies. These include the African animals on the savannahs at the AKL or the views of the Magic Kingdom fireworks from some rooms at the Floridian or Polynesian. These premium views do come with a premium price tag. To discuss your balcony options and pricing, you'll need to contact Disney reservations at 407-W-DISNEY.
For general room requests, take a look at the advice Panelist Bret gives
HERE.
Enjoy your visit to Walt Disney World.