It's a Small World
It's a Small World
It's a Small World
Did I mention... It's a Small World??
All kidding aside, I think I've been on that ride about a million times with my kids!
Any attraction that gives you a nice ride will work for a little one!
My kids didn't like Peter Pan (dark and flying over the city freaked them out), Snow White, It's a bug's life.
Here's what they liked at 11 & 16 months:
MK
Pooh, Teacups, It's a Small World, Dumbo, Bear Country Jamboree, Jungle Cruise, Aladdin's Flying carpets, Pirates, Haunted Mansion, Hall of Presidents (O.K. that one is my favorite... great place for the kids to take a nap because it is dark-- 20 minutes of rest for Mom and tyke

), Tom Sawyer's Island, Train around the park, Transit authority (people mover), Buzz, Cars, Carousel of Progress (o.k. that's another one of my favorites -- 15 minutes of rest of Mom and tyke).
Epcot
Nemo, Crush, Living with the land, Imagination ride plus the cool hands on stuff after the ride, Spaceship earth, the World Showcase expecially Maelstrom and the acts in front of the pavillions. Don't miss the Japanese lady who does the candy animals.
AK
Kilimanjaro Safari, Walk the trails, train to Rafiki's conservation center, boneyard, dumbo type ride that uses dinosaurs (forgot the name), Camp Minnie & Mickey (shows and the characters)
MGM
Playhouse Disney, Honey I Shrunk the Kids play set, the Great Movie Ride (watch the Alien part-- scary), I can't think of anything else.
Hope this was helpful!
Good luck!