In fact, there are. If you look at ports by tonnage, Port Klang in Malaysia is bigger than Rotterdam, and Tanjung Priok in Indonesia is bigger than New York.
So you can fill up a ship in LA with containers going to 10 different Asian ports, and drop them all off in Singapore.
This works best if everyone does that at one central location.
You're right other Asian ports are very big, but I think they more serve as origin or destination.