Remember the Bible is a primary source. Here are two additional resources that include primary source material regarding the Ancient Near East:
Ancient near Eastern Texts relating to the Old Testament with supplement by 
The Context of Scripture
Ancient near East - An Anthology of Texts and Pictures
Treaty, Law and Covenant in the Ancient near East
Ancient near Eastern Thought and the Old Testament
Hidden Riches
The Oxford Encyclopedia of Archaeology in the near EastAtla Religion Database with AtlaSerials PLUS
The premier index for journal articles and book essays in all fields of religion, biblical studies, and theology.
JSTOR : an interdisciplinary database of full text journals.
The Anchor Bible Dictionary
Ancient Israelite Literature in Its Cultural Context
The Ancient Near East
Ancient near Eastern Thought and the Old Testament
Ancient Texts for the Study of the Hebrew Bible
Dictionary of Deities and Demons in the Bible
Dictionary of the Ancient Near East
Dictionary of the Old Testament - Pentateuch
Dictionary of the Old Testament: Historical Books
The International Standard Bible Encyclopedia
The New Encyclopedia of Archaeological Excavations in the Holy Land
The New Interpreter's Dictionary of the Bible
Encyclopedia of the Ancient World (Brill's New Pauly)
Zondervan Handbook of Biblical Archaeology
The Zondervan Encyclopedia of the Bible
