I currently subscribe to no general Christian periodicals.
Over the decades I've subscribed to and even contributed to a few.
The most stimulating was the Evangelical Review of Theology, which covered the serious side of Christian thought. It was my dabble in contemporary conservative theological discourse.
Most of my peers subscribed to or read On Being in its hey day. Now called Alive and a web publication. It was enjoyable, magazineish, very interesting and wonderfully edited by Owen Salter in its initial years of publication.
My links with Koorong lead me to the Banner of Truth magazine, a short and inexpensive but backwards looking compilation of modern day puritanism. It was stiff with Calvinism that I lapped up at the time. I even visited the offices in Edinburgh when traveling through the UK.
People who enjoy the BoT magazine, including close friends I had during the early 80s, seemed to have a special love for Good Books (Calvinists BoT groupies always seemed to be able to capitalise the phrase when speaking...it was so important to read Good Books!)
Baptist Reformation Review was recommended to my be a friend at Koorong. I subscribed at the same time as I did to BoT magazine. It later changed its name to Searching Together. It was handled in Australia by Ray Levick who then lived in Melbourne. I visited him on a trip to that city in the early 80s and had an enjoyable evening with him and his wife. It was much the better magazine than BoT, critically observant of evangelical Christianity.
A couple of magazines came through my L'Abri connections, and finally the Last Days Ministries magazine, produced by Keith Green's organisation. I consumed it avidly, but became disenchanted with LGM's infatuation with Charles Finney.
There were also denominational publications. I subscribed to The Christian Messenger (not this CM, but named after it), and wrote a little for it, all a bit fervid, but the editor seemed to like my material (so did my mother, for what its worth).
For a while I was on the Zadok Centre mailing list. The Centre was a bit of a Christian 'think-tank', run by David Millikan who gained some media credibility and was interviewed on radio and TV from time to time in the 80s.