Disney World is no stranger to bad weather, including a lot of rain. This can affect attractions and cause them to close. This list has the Disney World rides that close when it rains. Some of them close if there is any amount of rain, others close when it is more severe.
Big Thunder Mountain Railroad

Big Thunder Mountain Railroad is an outdoor roller coaster ride. It won’t close with a little rain, but will close if there is lightning, as all of the outdoor rides do.
Tiana’s Bayou Adventure

Rain can cause technical challenges for Tiana’s Bayou Adventure. It doesn’t always close when it rains, so it will depend on how severe the storm is.
Dumbo The Flying Elephant

Dumbo The Flying Elephant closes in the rain because it is an outdoor ride. Closing the ride keeps guest and cast members safer.
Expedition Everest

Expedition Everest is an Animal Kingdom ride. Many rides in this park close when it rains. This ride is outdoors and could have electrical issues when wet.
Astro Orbiter

Astro Orbiter is a Magic Kingdom attraction. It is outdoors and can be slippery and unsafe when it is wet.
Slinky Dog Dash

Slinky Dog Dash is an outdoor roller coaster that would not be safe to ride in a severe rain storm. This ride is located in Toy Story Land in Hollywood Studios.
Jungle Cruise

Jungle Cruise is a completely outdoor attraction on boats. The boats can become slippery when it rain, so this ride closes to keep guests and cast members from slipping and falling.
Kali River Rapids

Kali River Rapids is a water ride in Animal Kingdom. It is already a wet ride, but adding more water to the ride vehicles and ride platform can become unsafe for boarding and debarking.
Magic Carpets Of Aladdin

The Magic Carpets of Aladdin is a Magic Kingdom ride that is entirely outside. It is unsafe in the rain to get on and off the ride vehicles and the seats would be very wet.
The Barnstormer

The Barnstormer is a Magic Kingdom junior roller coaster. It is an outdoor ride that is uncovered. The ride vehicles get wet and slippery in the rain, so it closes.
Kilimanjaro Safaris

Kilimanjaro Safaris is a ride in Animal Kingdom. It will operate in light rain, but may close in heavier rain and will definitely close if there is lightning.
Seven Dwarfs Mine Train

Seven Dwarfs Mine Train has indoor parts and outdoor parts. Since some of the attraction is outdoors it will close in heavy rain and lightning.
Tomorrowland Transit Authority PeopleMover

The Tomorrowland Transit Authority Peoplemover is a Magic Kingdom attraction that may close in the rain.
Wildlife Express Train

The Wildlife Express Train is an Animal Kingdom attraction that closes in the rain. This is because the ride vehicles are uncovered and a lot of the animals hide in the rain so you wouldn’t be able to see them.
Walt Disney World Railroad

The Disney World Railroad in Magic Kingdom closes in the rain because it can get very wet and there are electrical concerns.
Test Track

Test Track is an EPCOT attraction. Rain can affect the safety of this ride since some of it is outdoors and the exposed track would get wet.
Alien Swirling Saucers

Alien Spinning Saucers is in Toy Story Land in Hollywood Studios. The spinning saucers can become very slippery when they get wet, so this causes the attraction to close.