By appointment of the Chief Justice, Baker was a member of the Committee on Rules of Practice and Procedure (1990–95) for which he received a formal Commendation for Distinguished Service to the Federal Courts from the Judicial Conference of the United States.

In 2018, Baker was presented with the Albert Nelson Marquis Lifetime Achievement Award[2] for career longevity and demonstrated excellence in legal education.

He has appeared on Slate.com, NPR, Law.com, CNN’s Burden of Proof, C-SPAN, PrawfsBlawg.com, and numerous legal education programs for lawyers and judges.

From 1979 to 1998, Professor Baker was a faculty member at Texas Tech University School of Law, where he held the Alvin R. Allison Distinguished Professorship and received multiple awards for his teaching and research.

He has also taught American constitutional law as a Distinguished Fulbright Professor at the University of Athens in Greece.