On a daily basis, from the UK (both in English), the Guardian and Observer, from the US (all in English), NY Times, NY Sun, NY Post, NY Daily News, from Israel, Ma'ariv (Hebrew), Yehidot Ahranot (Hebrew), Jerusalem Post (English), and ("Palestinians") Chronicle (Arabic), and Filasteen (Arabic), from Egypt al Ahram (Arabic). In the Philippines, the only regular reading for me is the "Sun" chain (regional papers) all in English. I soemtimes also read in my halting Visayan, the local rag whose title I do not even bother to internalise. All daily and also from time to time other periodicals as well.
On a weekly basis I rerad, from the States, The Jewish Press (English), Der Algenheimer (Yiddish), and the Daily Forward (English, since they stopped the Yiddish Edition).
Magazine wise, the only regular reading is the English language edition of the National Geographic and when I can find it, which is generally very rarely since I am based in the Philippines( but travel frequently) is "Q" from the UK, like it alot, great reading for flights and what not.
The newspapers are usually online only due to the travel and scarcity in the Philippines (I usually live on Mindanao, deep out in the bush), but I do try to scarf hardcopies of the NY Times wherever and whenever possible due to the great disparity between the print and online editions.
I am definitely a news hound.