Keeping in mind that you are 62 days out, here are my recommendations.
Biergarten (Epcot)
Sanaa (Animal Kingdom Lodge)
Rose and Crown (Epcot)
Beaches and Cream (Doesn't take ADR's but it's table service - Beach Club)
Hollywood Brown Derby (DHS)
Sci-Fi Dine In (DHS)
Yak and Yeti (Animal Kingdom)
Liberty Tree Tavern (Magic Kingdom)
Boma (Animal Kingdom Lodge)
The Plaza Restaurant (Magic Kingdom)
Yachtsman Steakhouse (Yacht Club)
Les Chefs de France (Epcot)
Marrakesh (Epcot)
I think most of these will have some availability and are pretty good choices. I would also try for some of the ADR's you'd really want to try that you don't think you have a chance at just in case something comes available (like Cinderella's Royal Table, O'hana, Le Cellier, Be Our Guest, Chef Mickey, Crystal Palace). You never know when someone is going to cancel a trip or an ADR.