I found a list of journals off of deinde.org. The titles are linked with respective pages on the original post, but here is the list, in case anyone wants to take a quick look. Some others have been suggested in the comments on the original post.

Ancient Near Eastern Studies
Anglican Theological Review
Aramaic Studies
Australian Biblical Review
Biblical Archaeologist
Biblical Interpretation
Biblical Theology Bulletin
Bibliotheca sacra
Bulletin of Biblical Research
Bulletin of the American School of Oriental Research in Jerusalem
Bulletin of the American Schools of Oriental Research
Bulletin of the Evangelical Theological Society
Bulletin of the International Organization for Septuagint and Cognate Studies
Calvin Theological Journal
Catholic Biblical Quarterly
Criswell Theological Review
Currents in Biblical Research
Dead Sea Discoveries
Didaskalia: The Journal of Providence Theological Seminary
Ephemerides Theologicae Lovanienses
Expository Times
Filología Neotestamentaria
Hadashot Arkheologiyot
Harvard Theological Review
Hebrew Linguistics
Horizons in Biblical Theology
Interpretation: A Journal of Bible and Theology
Israel Exploration Journal
Jewish Bible Quarterly
Jewish Quarterly Review
Journal for the Study of Judaism
Journal for the Study of Rhetorical Criticism of the New Testmant
Journal for the Study of the Historical Jesus
Journal for the Study of the New Testament
Journal for the Study of the Old Testament
Journal for the Study of the Pseudepigrapha
Journal of Biblical Literature
Journal of Biblical Studies
Journal of Early Christian Studies
Journal of Greco-Roman Christianity and Judaism
Journal of Hebrew Scriptures
Journal of Near Eastern Studies
Journal of Semitic Studies (2002-pres.)
Journal of the Ancient Near Eastern Society
Journal of the Evangelical Theological Society
Journal of Theological Studies
lectio difficilior
Liber Annuus
Near Eastern Archaeology
New Testament Studies
Novum Testamentum
Palestine Exploration Quarterly
Restoration Quarterly
Review of Rabbinic Judaism
Revista Bíblica
Revue biblique
Scandinavian Journal of the 0ld Testament
Scottish Journal of Theology
Semeia: An Experimental Journal for Biblical Criticism
TC: A Journal of Biblical Textual Criticism
Tyndale Bulletin
Tyndale House Bulletin
Vetus Testamentum
Vigiliae Christianae
Vox Evangelica
Zeitschrift für Antikes Christentum / Journal of Ancient Christianity
Zeitschrift für die Alttestamentliche Wissenschaft
Zeitschrift für die Neutestamentliche Wissenschaft und die Kunde der
Älteren Kirche
Zeitschrift für die Neutestamentliche Wissenschaft und Kunde der Alteren Kirche