There are many photos in the photo competition.(要用in the 而不是of)
Let me show you one of them (show you sth.或者show sth.to you 而不是for you）
a collection of photos called The Many Faces of Our City which features Beijing made by three pupils.(features不是feature,因为which代表的是一个单数,动词后面要加s.by three pupils 换成 made by three pupils纯粹是要和前面的意思区别开来）
It includes photos of different parts of the city such as Siheyuan and Wangfujing.（这句话没有错误,不过it includes 也可以换成it consists of,意思是这是由...组成的)
It successfully shows the rich culture of Beijing.(这句话基本是对的,successfully 也可以放在句末,意思不变.rich culture 也可以换成 amazing culture,意思是令人惊奇的文化.）