The city of beijing is ____with tourists for its beautiful old buildings and parks

考察固定搭配“be popular with”为……所喜欢；受……欢迎,所以选D
翻译：北京这座城市因其美丽的古老建筑和公园而为游客所喜欢.
而famous的搭配有
1)be famous for 因…而著名
例如：This guy should be famous for scoring the first goal of the 2010 World Cup.
这位哥们会因为打进了2010南非世界杯第一个进球而成名.
be famous as 作为…而出名
Dubai,which would prefer to be famous as a playground for the rich,has lately become a center of international intrigue.
迪拜希望变成举世闻名的富人游乐场,最近,它却成了跨国暗杀中心.