I have seen baby's on just about everything. Just remember that Disney assumes you are deaf and the volume on the attractions might be startling!!!!!! My son when he was three had to wear ear plugs.
the train at magic kingdom, maybe it's a smallworld?? pirates has that drop at the beginning (not sure), the safari boat tour thing... the haunted mansion??
any of the shows (obviously).
the laughing spot(?), there should be things the baby can go on... not positive of the names of the rides but, others can fill in the blanks.
maybe i am wrong but, hey, these are the ones that come to mind that aren't wild rides..
Almost everything, especially if you wear them in a carrier. Our babies tend to nap comfy all day and ride along with everyone. We just skip the height restricted... and always have a great time
Our daughter was 4 months on her first trip two years ago, I think we did the Safari, train, Nemo and probably a few others. My in-laws always criticized us for taking the girls so young, but we figured we had them to take them! Have fun!