Red Eye Cafe   

A step up from most national all-night chain diners, the Red Eye Cafe in downtown Indianapolis, promoted previously by 'The Late Show with David Letterman' and frequented by celebrities such as Jared Leto and Damien Rice, features favorite American meals at inexpensive prices. It even offers free wireless Internet access. Instead of opting for late-night fast food after partying, grab home-style grub at this restaurant and full-service coffee shop. Daily lunch specials cost a low $4.99 Mondays through Fridays, starting at 11AM, and include everything from chicken and dumplings to lasagna. Breakfast foods are served at all hours, and the Red Eye Burger will fill your tummy with a half pound of mouth-watering Angus beef. Also, tenderloin sandwiches and chicken quesadillas compliment the diner's beer selection. And the best part? Red Eye delivers locally, so you can stay home, party and eat great food, too.