The Bible and Critical Theory
This is a new journal based at Monash University. It's an e-journal with full text available in HTML or PDF formats. It describes itself like this:
The Bible and Critical Theory is an exploratory and innovative internet journal. Fully peer-reviewed, the journal explores the intersections between critical theory, understood in the broad sense, and biblical studies. It publishes articles that investigate the contributions from critical theory to biblical studies, and contributions from biblical studies to critical theory.I've added a link on my Journals page.