We've done LEYE's Mity Nice Grill in Water Tower when in the area with our kid (for reference, he's 7) and it's always worked pretty well for us. In fact, I've had some really good stuff (their burger is really good, and their minute chicken entree is completely scarfable).
I pulled this from the events section of the Mity Nice website:
Mity Nice Grill wrote:
Throwback Tuesday – Enjoy Mity Nice Grill favorites at a special price! Available after 4pm.
Frankie's Scallopine or Frankie's 5th Floor Pizzeria over in the 900 N. Michigan building could work as well.
An Epic Burger has recently opened at the corner of Pearson and Wabash.