Four ideas in Edgewater, just south of the Rogers Park border:
Awash for superb Ethiopian (be sure to order the kwanta ferfer!),
Bismillah for Pakistani (I know the kids don't like Indian, but this place is worth the visit for the super-fresh griddled breads),
Dak for Korean chicken wings, and
Jerky Jerk for good, smoky jerk chicken.
In Rogers Park proper, some of my favorites are
Taste of Peru,
Tamales Los Mejores de Guerrero, and
SP Kebab.
Among these, only Awash and Taste of Peru offer much in the way of atmosphere. But for cheap eats up that way, these would be good places to start.