A kiddie ride is where the theme is too childish and doesn't have an appeal to a wide age range. Like Curious George, or anything aimed at preschoolers or very young kids. Also, a kiddie ride is a ride that is designed for smaller children. Basically almost all of A Bugs Land at DCA or Jumping Jelly fish. Stuff like that.
A family ride is simply a ride everyone can ride together and be immersed, and it doesn't matter how old you are. So, basically ET Adventure, all of Fantasyland, Haunted Mansion, Pirates, the old Kongfrontation, maybe Jaws, Jungle Cruise, you get the point. It's a ride I can ride with my grandma, and a 6 year old, and we'll all be immersed and have fun. Kiddie rides are just for very small kids.
Despicable Me would fall in the Family Ride category, despite being kid FRIENDLY.