Hey there,
Used to live in Columbus... What everyone else is saying is pretty accurate... but I offer a few other suggestions.
If you like Golf... Bolton Field (Golf) was the best place to play and watch GA aircraft out of Bolton Field (TZR). It's right near the airport, and I remember the Fuji Blimp was based out of there. They also used to have aerobatic biplane flying on the weekends... not sure if they still do.
If you like Ribs... JP's BBQ is based right at Bolton Field, is just about the best place to go for the $100 rack of ribs.
Actually, it very reasonably priced and very good! A bit sparcly decorated, but the food makes up for it.
Also, if you get the chance to do anything "Buckeye" related... do it. That town is OSU CRAZY! Never seen anything like it and I probably never will again.
Good luck, and watch out for the "Orange Barrels"! (Folks from Columbus know what I'm talking about.)
Bob