accomplishment, attainment, achievement这三个名词都有“成就”的意思。

accomplishment    n.成功，成就；才艺，修养。

climbing that high mountain was an accomplishment for the hikers.
对于登山运动员来说，爬上了那座山就是成功。

being able to paint well is just one of her accomplishments.
画画得好只是她的许多才能之一。

attainment  n.指学识和造诣(常用作复数)；达到，到达。

a scholar of the highest attainments           
造诣极高的学者

achievement  n.可指抽象的“成就”，或具体的“成绩”，与accomplishment是同义词。

he rated the achievement high.
他高度评价了这一成就。

this achievement is surely uNPRecedented.
这成就确实是空前的。

the scientist thirsts after an achievement.
这名科学家渴望取得成就。