Irreantum was founded by Christopher Bigelow in March 1999, succeeding the AML Newsletter, which was published 1977–1998. Christopher Bigelow and Benson Parkinson were the first managing editors. The magazine was subtitled Magazine of the Association for Mormon Letters, and was published quarterly. Parkinson stepped down after Summer 2000, and Bigelow continued as managing editor until 2004. Laraine Wilkins was editor from 2004, renamed the magazine Irreantum: A Review of Mormon Literature and Film, and changed the publication schedule from four issues to three, and then to two, annually. Valerie Holladay and Scott Hatch were co-editors from October 2006. In April 2008, Holladay stepped down, and Hatch soon followed her. Angela Hallstorm became the editor by early 2009. In 2010, Jack Harrell joined Hallstorm as editor, and they alternated issues. In 2011, Hallstorm stepped down, and Josh Allen joined Harrell as an editor. The journal ceased print publication in 2013.
- Irreantum, Volume 1, No. 1, March 1999
- Irreantum, Volume 1, No. 2, June 1999
- Irreantum, Volume 1, No. 3, September 1999
- Irreantum, Volume 1, No. 4, Winter 1999-2000
- Irreantum, Volume 2, No. 1, Spring 2000
- Irreantum, Volume 2, No. 2, Summer 2000
- Irreantum, Volume 2, No. 3, Fall 2000
- Irreantum, Volume 2, No. 4, Winter 2000-2001
- Irreantum, Volume 3, No. 1, Spring 2001
- Irreantum, Volume 3, No. 2, Summer 2001
- Irreantum, Volume 3, No. 3, Autumn 2001
- Irreantum, Volume 3, No. 4, Winter 2001-2002
- Irreantum, Volume 4, No. 1, Spring 2002
- Irreantum, Volume 4, No. 2, Summer 2002
- Irreantum, Volume 4, No. 3, Autumn 2002
- Irreantum, Volume 4, No. 4, Winter 2002-2003
- Irreantum, Volume 5, No. 1, Spring 2003
- Irreantum, Volume 6, No. 2, October 2004
- Irreantum, Volume 7, No. 1, 2005
- Irreantum, Volume 7, No. 2, 2005
- Irreantum, Volume 7, No. 3, 2005
- Irreantum, Volume 8, No. 1, 2006
- Irreantum, Volume 9, No. 2, 2007; Volume 10, No. 1, 2008
- Irreantum, Volume 11, Nos. 1 and 2, 2009
- Irreantum, Volume 12, No. 1, 2010
- Irreantum, Volume 12, No. 2, 2010
- Irreantum, Volume 13, No. 1, 2011
- Irreantum, Volume 13, No. 2, 2011
- Irreantum, Volume 14, No. 1, 2012
- Irreantum, Volume 14, No. 2, 2012
- Irreantum, Volume 15, No. 1, 2013