Recommending restaurants is easy but recommending one you may like is a different matter, since people vary not only is taste but expectations. Sometimes this is defined on their local restaurant experience or the ethnic variation cooking style practiced within their area.
Coral Reef Restaurant - not the freshest seafood and like any seafood restaurant it has the standard pricing. Last time I ordered a filet of Salmon and was served a Salmon steak. Most people eat here for the view and parties of four may even get a aquarium window seating. This is what we got during our last visit...very nice and fun for the kids. Lunch is priced lower than dinner and this directly relates to offerings and portion sizes.
Italy - mixed reviews, but consider there are 14 different ethnic cooking styles when it comes to Italian food. The main restaurant in this sector is from Rome and is a chain (NY, Rome, WDW). For some it hits the spot, but for others it totally misses. Seating is great if you get one of the side rooms, but noisy and crowed on the main floor. Even with PS you might wait a period of time that may surprise you. I never heard a child complain about the food here...mainly adults. Typically, very busy for dinner.
Japan - I would recommend Tempura Kiku and Matsunoma Lounge since they are unique and the lounge provides an excellent view of the lagoon. Tempura Kiku you sit down at a counter, served very quick and watch meals being prepared. Sort of like a lunch place you might find if you dined in Tokyo. The Teppenyaki is something we can get anyday back home, so we avoid this popular spot, but would note it may be very entertaining for your kids.
France - I would recommend any place within France's Worldshowcase. Chef de France is the best restaurant to select since it offers a childrens menu and caters to children. Excellent food and service. Also it has fewer bad reviews than other options. Great place for lunch or dinner.
Canada - well my wife is from Canada so we never have ate here, but we hear and have read a lot good things about LeCellier since it change its format from counter service to table service.
Mexico - San Angel Inn. You will read mixed reviews on this one too. We like the view more than the food, but the food experience depends on what you like and what you select. Most people appear to be surprised by the food since many people have not experienced with authentic Mexican food. Again, there are a variety of ethnic cooking styles in Mexico too creating controversy even among Mexican food lovers. The scenery is great, low level lighting to set the mood of a Mexican village in the late, cool (A/C) evening. Great pit stop for a lunch on a hot afternoon.
I guess this is enough, anyway since you are also catering to kids too, you might want to check out ther menus to see if they have items in their menus that agree with your kids.
Epcot Menus