Here are some examples:
* Modernize: To make something more modern.
* Civilize: To make something more civilized.
* Americanize: To make something more American.
* Hospitalize: To admit someone to a hospital.
It's important to note that -ize isn't the only suffix that can indicate "to become like." Other suffixes like -ify and -ate can also sometimes have this meaning. However, -ize is the most common and direct suffix used to express this concept.