Hi Mallory,
Love the idea of celebrating your anniversary at Disney World. We just celebrated our fifteenth there and had an amazing time.
While there are no specifics discounts available for anniversary couples, you will most likely be able to find some great deals for your trip. You did not mention when you are looking to travel but I can tell you that Disney is currently offering a package where you buy four nights and get three free. This promotion includes your resort stay and park passes. The Disney Dining Pan can be added to this promotion for an additional cost. You can check availability and dates by visiting
here. There are also discounts on select resort rooms for as low as $74 per night. You can check dates for this offer
here.
Other discounts to consider are those given to Disney annual passholders (call 407-W-DISNEY or 407-934-7639). Many groups offer discounts for their members. Examples include AAA or Chase Disney Visa and even some credit unions. Thes organizations may offer discounts on park passes and resort rooms at certain times of the year. Lastly I suggest checking
www.mousesavers.com. This online group is a great place to check for current Disney offers that may be offered from outside companies. Hope one of these works for you.
Wishing you a magical anniversary trip!