List of Greek and English Reverse Interlinear Versions and Morphological Codings???

You can't easily get this data out of Logos at the moment. I've actually just made a suggestion saying that we need this, but it's unlikely to happen soon.

You can check the morphology of individual resources from the morph search. If you select the resource you're interested in, the morphology dropdown will limit itself to only those morphologies in that resource. Here's an incomplete list of which resources are using which morphology in Logos 5:

Anderson-Forbes Hebrew Morphology and Anderson-Forbes Aramaic Morphology

• The Hebrew Bible: Anderson-Forbes Analyzed Text
• Series: Biblical Dead Sea Scrolls

Comprehensive Aramaic Lexicon Morphology (CAL) Aramaic Morphology

• Series: CAL Targums

Friberg Greek Morphology

• Analytical Greek New Testament

Logos Aramaic Morphology

• Lexham Hebrew Bible
• The English-Hebrew Reverse Interlinear Old Testament Authorized English Version (1873)
• The English-Hebrew Reverse Interlinear Old Testament English Standard Version
• The English-Hebrew Reverse Interlinear Old Testament King James Version
• The English-Hebrew Reverse Interlinear Old Testament New American Standard Bible
• The English-Hebrew Reverse Interlinear Old Testament New King James Version
• The English-Hebrew Reverse Interlinear Old Testament New Revised Standard Version
• The Greek-Hebrew Reverse Interlinear Septuagint
• The Greek-Hebrew Reverse Interlinear Septuagint (Alternate Texts)
• The Lexham Hebrew-English Interlinear Bible

Logos Greek Morpholology

• Elzevir Textus Receptus (1624) with Morphology
• Lake’s Apostolic Fathers English Reverse Interlinear
• Lake’s Apostolic Fathers in Greek
• Lightfoot’s Apostolic Fathers in Greek
• Nestle-Aland Greek New Testament, 27th Edition
• Nestle-Aland Greek New Testament, 27th Edition with McReynolds English Interlinear
• Nestle-Aland Greek New Testament, 28th Edition
• New Revised Standard Version Apocrypha Reverse Interlinear 
• Novum Testamentum Graece (Tischendorf)
• Old Testament Greek Pseudepigrapha with Morphology
• Old Testament Greek Pseudepigrapha with Morphology: Alternate Texts
• Septuagint with Logos Morphology
• Septuagint with Logos Morphology (Alternate Texts)
• Stephen’s Textus Receptus (1550) with Morphology
• The Apostolic Fathers Greek-English Interlinear
• The Apostolic Fathers In English Reverse Interlinear
• The Apostolic Fathers: Greek Texts
• The English-Greek Reverse Interlinear New Testament Authorized English Version (1873)
• The English-Greek Reverse Interlinear New Testament English Standard Version
• The English-Greek Reverse Interlinear New Testament King James Version
• The English-Greek Reverse Interlinear New Testament Lexham English Bible
• The English-Greek Reverse Interlinear New Testament New American Standard Bible
• The English-Greek Reverse Interlinear New Testament New International Version
• The English-Greek Reverse Interlinear New Testament New International Version (2011)
• The English-Greek Reverse Interlinear New Testament New King James Version
• The English-Greek Reverse Interlinear New Testament New Living Translation
• The English-Greek Reverse Interlinear New Testament New Revised Standard Version
• The English-Greek Reverse Interlinear New Testament Revised Standard Version, Catholic Edition
• The Greek New Testament, Fourth Revised Edition (Interlinear with Morphology)
• The Greek New Testament, Fourth Revised Edition (with Morphology)
• The Greek New Testament: SBL Edition
• The Interlinear Literal Translation of the Greek New Testament
• The Lexham Analytical Lexicon to the Greek New Testament
• The Lexham Analytical Lexicon to the Septuagint
• The Lexham Clausal Outlines of the Greek New Testament
• The Lexham Clausal Outlines of the Greek New Testament: SBL Edition
• The Lexham Greek-English Interlinear New Testament
• The Lexham Greek-English Interlinear New Testament: SBL Edition
• The Lexham Greek-English Interlinear Septuagint
• The Lexham Greek-English Interlinear Septuagint, Alternate Texts
• The Lexham Greek-English Interlinear Septuagint: H.B. Swete Edition
• The Lexham Greek-English Interlinear Septuagint: H.B. Swete Edition (Alternate Texts) 
• The Lexham Syntactic Greek New Testament
• The Lexham Syntactic Greek New Testament: SBL Edition
• The New Testament in Greek (Scrivener 1881)
• The New Testament in the Original Greek (Westcott and Hort)
• The New Testament in the Original Greek: Byzantine Textform 2005
• The Old Testament in Greek according to the Septuagint
• The Old Testament in Greek according to the Septuagint (Alternate Texts)
• The OpenText.org Syntactically Analyzed Greek New Testament
• The Works of Flavius Josephus: Greek Text with Morphology
• Series: Biblical Dead Sea Scrolls
• Series: Greek Apocryphal Gospels, Fragments and Agrapha
• Series: Göttingen Septuagint
• Series: Lexham Discourse Bible
• Series: Perseus

Logos Hebrew Morphology

• Lexham Hebrew Bible
• The English-Hebrew Reverse Interlinear Old Testament Authorized English Version (1873)
• The English-Hebrew Reverse Interlinear Old Testament English Standard Version
• The English-Hebrew Reverse Interlinear Old Testament King James Version
• The English-Hebrew Reverse Interlinear Old Testament New American Standard Bible
• The English-Hebrew Reverse Interlinear Old Testament New International Version (2011)
• The English-Hebrew Reverse Interlinear Old Testament New King James Version
• The English-Hebrew Reverse Interlinear Old Testament New Revised Standard Version
• The Greek-Hebrew Reverse Interlinear Septuagint
• The Greek-Hebrew Reverse Interlinear Septuagint (Alternate Texts)
• The Lexham Hebrew-English Interlinear Bible

Sedra 3 Syriac Morphology

• The Peshitta

Stuttgart Electronic Study Bible (SESB) Aramaic and Hebrew Morphology

• Biblia Hebraica Stuttgartensia : SESB 2.0 Version

Westminster Aramaic Morphology and Westminster Hebrew Morphology

• Biblia Hebraica Stuttgartensia: with Westminster 4.2 Morphology
• Biblia Hebraica Stuttgartensia—Morphologically Tagged Edition
• Qumran Sectarian Manuscripts

Westminster Greek Morphology

• Nestle Aland 26th Edition Greek New Testament Morphological Edition
• Nestle-Aland Novum Testamentum Graece Editio XXVII

Werkgroep Informatica (WIVU) Aramaic and Hebrew Morphology

• Biblia Hebraica Stuttgartensia: with Werkgroep Informatica, Vrije Universiteit Morphology

Which texts include analysis for roots?

• Lexham Hebrew Bible
• Nestle-Aland Greek New Testament, 27th Edition
• Nestle-Aland Greek New Testament, 27th Edition with McReynolds English Interlinear
• Nestle-Aland Greek New Testament, 28th Edition
• The Greek New Testament, Fourth Revised Edition (Interlinear with Morphology)
• The Greek New Testament, Fourth Revised Edition (with Morphology)
• The Greek New Testament: SBL Edition
• The Lexham Clausal Outlines of the Greek New Testament
• The Lexham Clausal Outlines of the Greek New Testament: SBL Edition
• The Lexham Greek-English Interlinear New Testament
• The Lexham Greek-English Interlinear New Testament: SBL Edition
• The Lexham Hebrew-English Interlinear Bible
• The Lexham Syntactic Greek New Testament
• The Lexham Syntactic Greek New Testament: SBL Edition
• The New Testament in Greek (Scrivener 1881)
• The New Testament in the Original Greek (Westcott and Hort)

Is there a better way to search both LXX and GNT at the same time?

It depends what resources you have, obviously. Check out the list above, and see which NT and LXX resources you have. Personally I would use Septuagint with Logos Morphology and NA28.

You mean you want a list of Murderers' Row?