I have something important to tell you.

我有重要的事情要告诉你。

《牛津词典》

I have an important announcement to make.

我要宣布一件重要的事情。

《牛津词典》

This isn't very important—I don't want to make an issue of it.

这不太重要—我不想把它当回事儿。

《牛津词典》

If I can be the one to save it from that danger, then my health and life are not important."

VOA: special.2009.03.19

It's one that is maybe initially counterintuitive but actually, I think, is rather important once you begin to think about it.

乍一听你会觉得不可思议，但是仔细一想就会悟出其中道理。

耶鲁公开课 - 文学理论导论课程节选

and so I think I have a really personal story about that of why I think it's really important.

所以我对这方面有着真实的感受，能够解释移民政策的重要性。

美国的移民政策 - SpeakingMax英语口语达人

Unlike journalists covering a specific beat, with deadlines and quotas to meet, I feel no anxiety if I miss important developments, and I feel no urge to compete for and break big stories.

FORBES: The Six-Month Review

But one thing that I'm having a lot of fun doing and also I think is very important is I'm going around the country talking about how important teaching is and how important it is for women and men to consider teaching as a career again.

CNN: Laura Bush on her first six months in the White House

Sometimes when I go through old mail, I find really important messages I had ignored, like someone offering to pay me to give a speech.

FORBES: Tips for Managing Information Overload in Email Facebook and Twitter