Probably the most popular place for a ghost to appear (if you don't count cemeteries) is a theater. Certain aspects of theater folklore involve hauntings, such as the "ghost light" and the attribution of mishaps to the work of a ghost, so it's unlikely that all these theaters were really the sites of murders, or are really haunted. But these are all the Ohio theaters I can find with ghost stories attached to them. I've included movie theaters.

20th Century Theater Cincinnati
Akron Civic Theater Akron
Blue Jacket Amphitheater Xenia
Brown and Saint Theaters, Bowling Green State University Bowling Green
Cincinnati Music Hall Cincinnati
Clague Playhouse Westlake
Founders Hall Theater, Heidelberg College Tiffin
Great Lakes Theater Lakewood
Huntington Playhouse Bay Village
Kline Opera House Cortland
Lakeshore 7 Movie Theater Euclid
Little Theater Off Broadway Grove City
Majestic Theater Chillicothe
McConnelsville Opera House McConnelsville
Mid-Ohio Valley Players Theater Marietta
Palace Theater Columbus
Renaissance Theater Mansfield
Sorg Opera House Middletown
The Strand Delaware
Studio 35 Columbus
Town Hall Theater Centerville
Triple Lock Theater Roscoe
University Plaza Theater Kent
The Valentine Theater Defiance
Variety Theater Cleveland
Victoria Theater Dayton
Walton Creek Theater Cincinnati