1. be famous for=be known for 因为…而著名

2.be famous as=be known as 作为…而著名

3.be famous to=be known to 为…所熟知

He would be famous for the game.

他将因这场比赛而著名。

Laoshe is famous as a writer.

老舍作为作家而著名。

In China,Lu Xun is famous to everyone.