Without waiting for an answer, if you're looking North of Belmont then Victory's Banner or Kitsch'n in Roscoe Village or Tre Kronor on Foster (between Kedzie and Kimball) in North Park for a great Swedish breakfast.
3258 W Foster Ave, Chicago, IL 60625
Victory's Banner Restaurant
2100 W Roscoe St, Chicago, IL 60618
Good places open during the week for breakfast on the Northwest Side include:
Bongo Room, in Wicker Park - http://chicago.menupages.com/restaurants/bongo-room/
Jam, in West Town - www.jamrestaurant.com
Lula, in Logan Square - www.lulacafe.com
Toast, in Bucktown - www.toast-chicago.com
Milk and Honey Cafe, in Wicker Park - www.milkandhoneycafe.com
Flo, in West Town - www.eatatflo.com
There are also bakeries (e.g. Alliance Bakery in Wicker Park, www.alliancebakery.com ) which have cafe seating and serve coffee, pastries, and a limited menu of heated foods.
Check their websites for hours because some of these are closed one day of the week (often Mondays or Tuesdays).
All of the above are very good indeed, but if I had to recommend only one, it would be Bongo Room, for their creative pancakes, such as their pretzel pancakes with white chocolate caramel sauce. Tip: A standard portion consists of three ENORMOUS pancakes, but they also offer one-third and two-thirds portion sizes at a reduced price. This lets you try more than one kind without going crazy!