At that age, my boys got used to spinners (Elmo's Flying Fish) and carousels (Big Bird's Carousel) at the local theme park, Sesame Place before we traveled to WDW when the youngest was 2 and and the oldest was 4 years old.
This is where we start every year..I can't wait til my daughter can ride it next time..she is close in height requirement this time, but will be barely 4 and I think it's a bit much