There are lots of things besides thrill rides at IoA. Check out this page on what kids can do:
http://www.usoinfo.com/Parkinfo/kids.html
Seuss Landing will surely be a hit with your kids, even the baby as the whole land is made for little kids. All the fences, signs, and steps are all kids size.
Here are some cut and paste from that page with a few edits from me:
One Fish Two Fish Red Fish Blue Fish is a Dumbo ride with a twist. You sit in large fish and navigate up and down in a circle like the Dumbo ride at the Magic Kingdom, but you need to listen to the song to avoid getting wet. When the song says go down, you best go down or you will get a shower! When the song says go up, head to the sky. The last part is a free-for-all where you just choose a spot and hope you will not get wet.
The
Caro-Seuss-El is a carousel ride populated with various Seussian creatures. The creatures move up and down, just like any other carousel.
The Cat in the Hat It is a dark ride based on the popular book, but it spins you around. Kids have fun on this ride, but you may want to avoid the ride if yours have motion sickness.
If I Ran the Zoo is a play area based on the book of the same name. Your kids can crawl through holes, squirt water on a small island, play tic-tac-toe with Old Joe, and interact with many characters.
The Lost Continent
Your kids might like the
Flying Unicorn which is more of a kiddy coaster, But even if you don't ride anything there, at least walk through the land and see the enchantment of Wizards, unicorns, and dragons.
Poseidon would be a must see also. Spend some time in front of Poseidon and talk to the
Mystic Fountain there. Kids love that !
Jurassic Park
The Jurassic Park Discovery Center is a mini-science center where every exhibit is based on dinosaurs. Children can play You Bet Jurassic to test their dinosaur I.Q., they can X-ray the insides of a dinosaur egg, they can have their DNA sampled to create a new dinosaur, they can search for dinosaur bones in a rock, and they can Be-A-Saur by looking through VR glasses in a dinosaur model. If a dinosaur happens to hatch in the nursery, your child may be lucky enough to name the newborn.
Camp Jurassic is another play area. Kids can run through caves, squirt each other, climb over rope bridges, and go down slides. Be careful because Camp Jurassic winds around a lot and it is easy to lose a child in there. Camp Jurassic is also home to the only ride exclusively for kids,
Pterandon Flyers.
Toon Lagoon
If your kids do not meet the 44-inch height requirement for Dudley Do-Rights Ripsaw Falls or the 48-inch height requirement for Popeye and Blutos Bildge-Raft Barges, they can still have fun on
Me Ship, the Olive. Me Ship, the Olive is a three-level interactive play area. It is Popeyes ship modeled after his girlfriend. Kids can climb up and down the stairs, go down the slides, and play on a piano. The most popular level is the second level. On this level, squirt guns are provided so you can nail the passing boats. Although the boat riders have a wetter experience in other parts of the ride, the squirt guns seem to annoy them the most. The guns bring out the little devils in children. The bridge to Popeye and Blutos Bildge-Raft Barges also has water cannons for 25 cents a shot.
Children can see their favorite Toon Lagoon characters around the island of during the Toon Trolley Show.
Marvel Super Hero Island
The three major rides on this island The Amazing Adventures of Spider-Man, Dr. Dooms Fearfall, and the Incredible Hulk Coaster have height requirements (40 inches, 52 inches, and 54 inches, respectfully). The only ride that doesn't is
Storm Force Acceleration. This is a teacups clone that is themed after the X-Men and Storm. If your kids have motion sickness, they may want to avoid the ride. Otherwise, just sit and spin the control as fast as you can!
Marvel superheroes appear on the island throughout the day and during the Meet the Marvel Super Heroes parade.