I switched to a weekly subscription of Economist (print) and it has been great. I haven't seen then news in a year (on phone, or TV). If there's something really important happening, then people around me generally tell me. At that point I check what's happening online, but that doesn't last more than a day or 2.
It has allowed me to escape the news cycle. I am yet to find an equivalent of the Economist for India (where I'm residing right now). As a result, I'm currently quite oblivious to the day-to-day in India, but honestly that hasn't been of much consequence.