I don't read much current news, but here goes some sources I've found reliable for the past month or so.

Prensa Latina is a Cuban government press agency that has developed a lot in recent years, and is very good for reporting on Actual Americans (read: not only Unitedstadians). They have Spanish, Brazilian, English, Russian, Arabic and Italian.

Haïti Liberté is another Caribbean leftist newspaper but this time Haitian. They have some stuff in English, but it's mostly French and some Creole. Obviously they focus mostly on Haiti from an anti-imperialist perspective, but that also often extends to the rest of the Caribe.

But also, if you're trying to get news from some particular industry or location, it's always useful to go straight for the reporting that is meant for the professionals of that area rather than the general public. So if you're into hollywood, ~~touching grass~~ deadline.com is often useful, and if you're a gamer, ~~get some help~~ gamedeveloper.com (old gamasutra) usually has more in-depth reporting. Usually the more in-depth reporting comes out from the specialist newspaper rather than some multinational outlet.