Nothing "really close." You're right next to a shopping mall and surrounded by big box stores and national restaurant chains like Old Country Buffet and Olive Garden.

Your best bets in the generally vicinity might be:
- Chuck's Southern at 5557 W. 79th St.
- Lindy's Chili at 76th and Pulaski
- Mabenka Polish at 7844 S. Cicero

Note: These places are the opposite of fancy.