At the Magic Kingdom: Railroad, Pirates of the Caribbean, Haunted Mansion, Magic Carpets, Jungle Cruise, Riverboat, Small World, Winnie the Pooh, Tea Cups, Dumbo, Under the Sea, Astro Orbiter, Carrousel of Progress, Buzz Lightyear do not have a height requirement.
At Hollywood Studios: Great Movie Ride, Backlot Tour, Toy Story Mania.
At Animal Kingdom: Kilimanjaro Safari, Wildlife Express Train, TriceraTop Spin;
At EPCOT: Grand Fiestive Tour in Mexico, Ellen’s Energy Adventure, Journey Into Imagination, Living With The Land, Maelstrom, The Seas with Nemo and Friends, Spaceship Earth.
These rides do not have a height requirement, but you will want to use your discretion as a parent about wanting your baby on these. Don’t forget you can take advantage of Disney’s rider switch program that allows one parent to ride, then swap the baby and the other parent can ride. Just check with the cast member at the standby entrance for any ride at the Disney parks.