First of all, I'd like to say that using Accordance has been an amazing experience which has enhanced my Old Testament studies to a whole new level. Many subjects concerning the Bible is extensively covered by the program, and I suspect that only few "holes" remain. One of them, however, would be my other specialty, The Ancient Near East. So I decided to make this module request - While I have most of the works mentioned below in my personal library, seeing them in my Accordance library would be a dream come true.
Before making this topic, I searched this particular forum for identical topics to make sure that I wouldn't be repeating what other people already have requested. I then took notice of these three topics - RobM's "Ancient Texts" from May 2009. A.D. Riddle's "Dictionaries for Ancient Languages" from May 2011, and finally tis454's "Akkadian" from December 2013.
1. RobM didn't specify what Akkadian texts he wanted other than a transliterated edition of Codex Hammurabi and similar law collections; On that note, I'd like to request Martha Noth's Law Collections from Mesopotamia and Asia Minor (Second Edition, SBL - Writings from the Ancient World Series, Scholars Press, Atlanta, 1997), seeing that it contains the most important law collections from the Ancient Near East.
Other important Akkadian text editions I'd like to see would be:
A. R. George's The Babylonian Gilgamesh Epic - Introduction, Critical Edition and Cuneiform Texts Vol I & II (Oxford University Press, 2003) - of all the Gilgamesh editions I've read, this one is without a doubt the best.
W.G. Lambert, A.R. Millard and M. Civil's Atra-Ḫasīs - The Babylonian Story of the Flood with the Sumerian Flood Story (Eisenbrauns, Winona Lake, Indiana, 1999)
W.G. Lambert's Babylonian Wisdom Literature (Eisenbrauns, Winona Lake, Indiana, 1996)
2. A.D. Riddle asked for a few interesting dictionaries, and I, too, would really like to see the following:
J. Hoftijzer and K. Jongeling's Dictionary of the North-West Semitic Inscriptions. (Leiden: Brill, 1995)
G. del Olmo Lete and J. Sanmartín's A Dictionary of the Ugaritic Language in the Alphabetic Tradition. Vol I & II (Leiden: Brill, 2004)
Jeremy Black, Andrew George, and Nicholas Postgate's A Concise Dictionary of Akkadian. (CDA) (2nd corrected printing. Wiesbaden: Harrassowitz, 2000)
The Assyrian Dictionary of the Oriental Institute of the University of Chicago (CAD) - Quite the tour de force, that one!
I'd also like to request these dictionaries:
Wolfram von Soden's Akkadisches Handwörterbuch Band A-L, Band M-S and Band Ṣ-Z (Otto Harrasowitz, Wiesbaden, 1965, 1972 and 1981) - I am aware that it's written in German, which might alienate some, but it is arguably the best Akkadian dictionary there is. E.g. unlike the CAD (and CDA!), the AhW lists several verbal forms in its entries. Another problem with CAD is the vast amount of - albeit relevant - information. AhW is only in three volumes and almost always manages to tell the reader all he or she needs to know.
Michael Sokoloff's A Syriac Lexicon. A Translation from the Latin, Correction, Expansion, and Update of C. Brockelmann's Lexicon Syriacum (Eisenbrauns, Winona Lake, Indiana, and Gorgias Press, Piscata Way, New Jersey, 2009)
J. Payne Smith's A Compendious Syriac Dictionary (Clarendon Press, 1967)
3. Of course, there are also a lot of great grammars out there I'd like to see:
Wolfram von Soden's Grundriss der Akkadischen Grammatik (2nd edition, Pontificum Institutum Biblicum, Roma, 1969) - again, seeing that the German language might pose a problem, Harry Hoffner's translation of Arthur Ungnad's "Akkadian Grammar" (Fifth corrected edition, SBL - Scholars Press, Atlanta, 1992) is a good alternative.
Takamitsu Muraoka's Classical Syriac. A Basic Grammar with a Chrestomathy (Second, Revised Edition, Harrasowitz Verlag, Wiesbaden, 2005)
Franz Rosenthal's A Grammar of Biblical Aramaic (Sixth, revised edition, Harrasowitz Verlag, Wiesbaden, 1995)
Stanislav Segert's Altaramäische Grammatik mit Bibliographie, Chrestomathie und Glossar (2nd edition, Verlag Enzyklopädie Leipzig, 1975) - This exceptionally brilliant grammar covers all Aramaic dialects and not just the biblical material. There doesn't seem to be any English alternatives to this, though.
Stanislav Segert's A Basic Grammar of the Ugaritic Language (University of California Press, 1984) - Great for beginners but usable in general as well.
Daniel Sivan's A Grammar of the Ugaritic Language (Brill, Leiden, 1997)