The former child actor has finally 'graduated' [='moved on'] 'to' more serious roles.
an engineering 'graduate' [=a person with a degree in engineering]
My nephew has 'graduated from' baby food 'to' solid food.
(..) along shortly. Now, because I had been a football star and war hero and national celebrity and a shrimping boat captain and a college graduate, the city fathers of Greenbow, Alabama, decided to get together and offered me a fine job. So I never went back to work for Lieutenant Dan, (..)1994 Forrest Gump