To get a comprehensive list, you'd need to meticulously examine game-by-game records for each season, which is a significant undertaking. Even then, there'd be some level of subjective interpretation.
However, you can find extensive lists of Ohio State quarterbacks, including those who started multiple games or were considered primary starters for a season, on various sports websites dedicated to Ohio State football history. These sites often include statistical information which can help determine who had the most significant starting role in a given season. Searching for "Ohio State starting quarterbacks all-time" or similar on a search engine will lead you to these resources.