I am allergic to wheat, so different than Celiac, but a gluten-free diet is the safest thing for me to follow when dining out.
Tokyo Dining: one of the saddest gluten-free meals I have ever had. the choices were limited and extremely bland.
Teppan Edo: no experience, but I have read descent reviews
Chefs de France: no experience, but I have read some reviews that suggest that they are not as accommodating as other restaurants
Coral Reef: no experience
50’s PT: OMG! This is one of my favorites! I dream about their gf fried chicken between trips. You need to contact Special Diets in advance or go by the restaurant before your reservation to insure the allergy friers are heated, but it is totally worth the extra effort!!!!
BOG: no experience, but I have read good things. I think there are really great lunch options here.
Liberty Tree: I had a great lunch there (the Colony Salad), but I have also read about how wonderful their gf Pilgram's Feast is
Garden Grill: I have only had breakfast here, but it has always been great. Their gf mickey waffles are some of my favorite.
Other favorites for future reference:
Jungle Skipper Canteen, Satu'li Canteen, Tiffins, Sanaa, Sunshine Seasons, Biergarten, Boathouse