Go Tigers!
Are we talking movies set in Ohio or movies filmed in Ohio?
For example, while the iconic Christmas Story house is in Ohio, the movie was set in northern Indiana. IIRC, the school where Flick freezes his tongue to the utility pole is somewhere in Canada. While the prison depicted in Shawshank is in Ohio, the book/movie setting is obviously Maine.
Some scenes from Unstoppable (2010) were filmed on railroad tracks and railroad yards around east central Ohio. At least 1 such scene was filmed in Brewster, OH (SW Stark County) which is home to a hub of operations for the Wheeling and Lake Erie Railroad. Other scenes were filmed in the Steubenville area. Brewster was essentially founded by the railroad after the turn of the 20th century.
While neither filmed nor set in Ohio, Chuck Norris' mentor in Forced Vengeance hails from Steubenville (in the movie).