If you haven't already, check out The Economist. They have a strong, clear ideological bias, but the writing is excellent and it's one of the very few places to get any sort of news in English about parts of the world that The Times ignores.
However, the breadth seems to often come at the expense of depth -- on the occasional chances I get to discuss an article in the Economist with an actual expert in that field, it seems their analysis is often dismissed as superficial and they not-infrequently get basic facts wrong (their letters section often contains quite substantial corrections).
If you just news on the parts of the world that American media ignores, a combination of BBC News and AlJazeera English is a good option.