There are many rides for teeny guys, but remember that the best part of Disney for him will be the lights, colors, change of venue, and extra attention from you. However, for a one-year-old...
MK
Dumbo (maybe not though - very fast for a baby)
Adventures of Winnie the Pooh
Small World
Tomorrowland Transit Authority
Country Bear Jamboree
HS
Voyage of Little Mermaid (may be too loud, though)
Toy Story Mania (obviously he won't play, but he'll like the visuals)
Playhouse Disney
Beauty and the Beast
AK
Kilimanjaro Safaris
Maharaja Jungle Trek
Rafiki's Planet Watch
Festival of the Lion King
Finding Nemo
The only park to avoid is Epcot, though the Living Seas and The Land are hits with little ones if you are okay with mostly just wandering around. Don't forget street theater and character meets for all parks.