Hürriyet, a left-leaning English-language daily, is covering the protests (and Erdoğan's response, the resulting politicking, and so on): http://www.hurriyetdailynews.com/

I should note that Hürriyet is historically quite unfriendly to Erdoğan; in particular (IIRC) it raised quite a bit of noise when Doğan Holdings, which owns Hürriyet, underwent tax fraud investigations that may have been politically motivated.