1.为何选B,如何翻译
Only one of the ancient wonders of the world still survives－now history lovers (are being invited )choose a new list of seven.
A.have invited
B.are being invited
C.have been inviting
D.are inviting
2.为何选C,如何翻译
The Beatles were the first British band achieved major success in the United States.
A.to achieve
B.achieving
C.achieved
D.having achieved

第一题是被动态,只有B才是被动态,但个人认为你打漏了一个"TO"在CHOOSE 前面.
原因: 历史学家是被邀请的

第二题很明显答案有错,应该选B,ACHIEVING.
原因:因为是主动态,ACHIEVING + 后面 构成一个分词短语形容THE BEATLE 或其同位语 THE FIRST BRITISH BAND.
当然也可以说成 WHO ACHIEVED, 但是WHO不能省,因为这里WHO作主语.只有作宾语才能省.
综上所述,你可以说成:
1)The Beatles wAS the first British band achievING major success in the United States.
2)The Beatles wAS the first British band WHO achieved major success in the United States.