I am an extremely picky eater myself - I like very plain food - mac and cheese, bread, etc.
Here are my reviews and what I would add:
(I would advise that you look up the menus on allears or on here as well)
Le Cellier - we go for lunch, they have more non-steak options ( I don't like steak!)
Les Chefs De France - never tried it, nothing on the menu appeals to me
Coral Reef - we ate here twice and were disappointed both times. Pricey and small portions.
50's Prime Time Cafe - great variety of options
Kona Cafe - we have only done brkfst and lunch - both were great with lots of options
Tutto de Italia - this is our least fav in Disney. The lasagna was gross! BUT, lots of people on here like it.
Crystal Palace - never tried it
Additional ideas for a picky eater:
The Plaza
Tonys
Ohana
Boma (I don't like African food, they have lots of options. Roasted chicken, salad, fruit, bread, desserts, mac and cheese, spagetti, etc,)
Biergarten (I don't like German food, same thing. Lots of options)
Have a great time!