First off, I'm not saying market commentary reports or so; I mean just "news". Generally I don't count on Taiwanese-based news sources that much since there may be some delay and misinterpretation. I usually go to the websites listed below:
Bloomberg
As we all know they have some great insights.
Google News
You can get most of world news here.
BBC Business
I went to BBC when I wanted to know more what Brits think. They offer some europe updates as well.
Yomiuri Asahi
I read Japanese news here.
RIA Novosti
This is where I get to know Russia.