Just for anyone who is interested, here is a list of rides which you cannot take a service dog onto:
Magic Kingdom® Park
* Big Thunder Mountain Railroad
* Peter Pan's Flight
* Space Mountain®
* Splash Mountain®
* The Barnstormer at Goofy's Wiseacre Farm
Epcot®
* Wonders of Life: Body Wars (seasonal)
* Mission: SPACE
* Test Track
* The Land: Soarin'™
Disney's Hollywood Studios™
* Rock 'n' Roller Coaster® Starring Aerosmith
* Star Tours
* "The Twilight Zone Tower of Terror™"
Disney's Animal Kingdom® Theme Park
* Affection Section at Rafiki's Planet Watch
* DINOSAUR
* Kali River Rapids
* Expedition Everest™
* Primeval Whirl
And this list is of attractions that you might want to talk to a CM about before riding:
Magic Kingdom® Park
* Cinderella's Golden Carrousel
* Stitch's Great Escape!™
Epcot®
* Imagination: "Honey, I Shrunk the Audience"
* Innoventions East & West
* Spaceship Earth
Disney's Hollywood Studios™
* The Great Movie Ride
Disney's Animal Kingdom® Theme Park
* "It's Tough To Be A Bug!"
* Kilimanjaro Safaris
* Aviary area of Pangani Forest Exploration Trail
* Aviary area of Maharajah Jungle Trek
This is from the WDW
official page for Guests with disabilities, though obviously you should use your discretion on the other rides, as there may be something in them that would spook your dog (check with a CM if you're not sure). As you can see (and as Sue said), there are a lot more rides that you
can go on with a SD than prohibit them.
Hope this helps, and have a great trip!
