It's not from your requested area list, but I'm really fond of Cafe Suron on Pratt and Sheridan in Rogers Park. It's a persian restaurant, with the best dolmeh ever and a variety of dishes you won't find at a lot of other mediterranean restaurants. They have a great eggplant appetizer dip (not baba ganoush). It's in the former lobby area of an old hotel, so it's also got lots of large windows and a fountain in the middle of the dining room.
Definitely try Greek Islands at Adams and Halsted in Greektown.
Also try the homemade gyros at Rodity's (greasy but sooo tasty).
For something different;
Raw Bar in Wrigleyville is fantastic for Persian and Egyptian inspired steak, seafood, chicken, etc. in a cool casual atmosphere.
I'm not sure what you mean by "dine-around" - if you are trying to hit all of these in one neighborhood, that is nore difficult.
Greece - easily covered by Greektown. Just walk down Halsted from Randolph down to Van Buren. My favorites are Parthenon and Pegasus, but there are lots of great options. For more of a market feel (although not actually a market) you can go into Artopolis.
Spain - My favorite Tapas is up in Evanston, Tapas Barcelona. Other Tapas places worth going to: Cafe Iberico, Cafe Ba-ba-reeba (in a pinch). I'm not a fan of Emilio's which has a bunch of locations around the city.
Morocco - Andalous is very good, not expensive, and BYOB.
Italy - your options for Italian food in Chicago are so plentiful that a price range would be helpful. The best Italian in Chicago is Spiaggia, but hat is very formal and very pricy. There is a somewhat less fancy, still excellant sister restaurant called Cafe Spiaggia in the same building. I also love Coco Pazzo.
Southern France - I'm not sure where to send you for Southern French cuisine. Most of the French restaurants I've been to in Chicago have not focused on Southern French cuisine. I seem to remember that Cyrano's had several Provencal options the one time I was there.