1. I would like to (watch as many movies as I like).
※would like to＋動詞の原形 → would like to watch many(原級) movies＋<as＋原級(+名詞) as> → I would like to watch as many movies as＋I(S) like(V) ⇒ I would like to (watch as many movies as I like).
2. He (one of the greatest actors in) the United States.
※one of＋複数名詞… …の中の一人・一つ