The Blackwell is on Ohio State's campus (right next to Ohio Stadium!) Take a stroll through the Oval, get a coffee at Thompson Library's Berry Cafe, or relax on a bench next to Mirror Lake! If you're looking for the true low-brow campus bar experience, try Out-R-Inn, Little Bar, The Library Bar, or Varsity Club.
The North Market has tons of different vendors. It's a great place to grab lunch, coffee, or a souvenir. It's located near the Short North - an area with lots of shops, galleries, and restaurants. If you go here, take a stroll down High Street after!
There are a few locations around town. The Grandview location has the best food, the Victorian Village location has the coolest building (old church), and the German Village location has the best location with lots of other stuff to do nearby (like the Book Loft and Pistachia Vera.)
You could get lost in here.