Damages in Tort Actions, 1982-. Available on Lexis Advance.
What's It Worth, 1985-. Available on Lexis Advance.
LexisNexis also contains several other databases with jury verdict information. For a comprehensive list, search for the term "Verdict" in the Find a Source tab.
To view verdict reports on Westlaw, select "Jury Verdicts & Settlements" on the main page.
Morelaw has a listing of Oklahoma verdicts at http://www.morelaw.com/oklahoma/law/
