The Bezbozhnik was a monthly anti-religious and atheistic satirical magazine, published in the Soviet Union between 1922 and 1941 by the League of Militant Atheists. Between 1923 and 1931, there was also a daily newspaper called Bezbozhnik u Stanka (Безбожник у станка; "The Atheist at the Workbench"). Its first issue was published in December 1922, with a print run of 15,000, but its circulation reached as much as 200,000 in 1932. 
Photo courtesy of the Keston Institute.
Here are some relevant links on militant atheism in the USSR.