SB Nation's outstanding Bill Connelly has written an equally excellent book, "Study Hall: College Football, Its Stats, and Its Stories". I was able to obtain and advance copy, gave it a read two weeks back, and can't recommend it enough. In fact, you should stop what you're doing and procure a copy for yourself right now.
The book contains a few memorable Ohio State mentions. A few quickly that caught my eye. On The Game:
When Michigan and Ohio State face off in Ann Arbor in 2013, they will not only be fighting for present-tense supremacy, but they'll also be re-fighting all of the battles that came before, in Michigan's home stadium and elsewhere. The same goes for conference battles throughout the country. The more you learn about college football, the more you find out you have to learn.
On Bill C.'s alma matter, Missouri, taking on Woody and Ohio State in the 70's (and economics which don't seem so foreign, particularly to today's game):
"Between 1941 and 1949, Missouri played Ohio State eight times, all on the road. According to Bob Broeg's Ol' Mizzou: A Story of Missouri Football (1974), the Tigers did this because head coach and athletic director Don Faurot would use the payout from the yearly trip (and loss) to fund the athletic department's budget for the rest of the year. According to a former Mizzou administrator, quoted by Broeg, "That series, more than any other, permitted Don to wipe out athletic-department indebtedness."
There's plenty of others (amongst a lot of incredibly high quality analysis of today's college football world/landscape), but perhaps one of the great parts about the book (besides how concurrently it's well written/informative while also accessible), is a section in which college football experts (and Bill himself) rattle off their ten favorite games as fans all-time.
Little is more telling of a person (and their fandom) than the experiences that have comprised their sporting life. Mine personally, in particular, is a hodgepodge of my years an active Ohio State student (and subsequent alumnus) and then my years growing up in a Texas Longhorns household in SWC/Big XII country, aligning with that particular other college football power.
I actually struggled to winnow my personal list down to 10 (I think my first draft had ~19). There's so many extremely memorable games, some that impacted the teams I rooted for, some that were just inescapable from my collective identity as a general college football fan, and some hard to escape because of surrounding social contexts. But in the spirit of "Football Study Hall", here's my top 10 games all-time:
10. October 29, 2011 - #12 Wisconsin vs Ohio State, W 33-29
The game was a blisteringly cold Halloween Saturday night game to be at, but Ohio State's season was a smoldering hot mess. Wisconsin (and Bret Bielema) were heavy favorites and then... Well you know the rest. I had plenty of great social/personal reasons to indelibly remember this one to boot, but I can remember fewer wilder final several minutes, including of course the unforgettable Braxton-to-Smith heave and catch.
9. November 19, 2005 - Ohio State at #17 Michigan, W 25-21
8. January 3rd, 2003 - Ohio State vs #1 Miami, W 31-24 (2 OT)
I imagine this one would likely play far higher for the lot of you, but I wasn't indoctrinated into Ohio State culture just quite yet. I was considering the school, but hadn't applied, though to make matters more fun, I was watching the game and holding opposite rooting interests with a friend who at the time was considering The U (he ultimately went to Baylor; go figure). The game was an all-time classic, however, even sans allegiance. And if you were fortunate enough to be a Buckeye lifer and/or be at the game, well given the wait between titles and the prevailing circumstances/narratives that went into this one, I can't imagine how near storybook it all must have felt.