Also recommend mild cheddar and Baby Bells, though my 2 year old is really more interested in opening those herself than actually eating them, and once she does get around to eating them, she usually shoves the entire thing in her mouth at once. Size and texture was important. When she was really little, I bought the pre-packaged cheese in the "crumbles" size, by the time she was about 14-15 mo, we moved onto the cubed size and so on.