Rick's Roadhouse in Providence has it figured out.
We stopped there today after church and noticed other families with kids in there, which is always a good indication that our kids will be welcome and get crayons and cups with lids, the all-important macaroni and cheese, etc. By the time we had left, there had been at least six other families in and out, all with kids. No one came in sans children.
They have a bunch of televisions in there and the biggest one of them was playing the movie, The Incredible Mr Limpet. We asked if they always play kid movies on Sundays and the server said they did. There's not a set schedule or anything, but they usually play something kid friendly. Last week it was The Muppet Movie.
Good beers on draft, too. The ribs were good, a little dry, but the sauces were yummy. Kids meals have all the normal selections, and come with ice cream. The mac and cheese looked nice and creamy and delicious, as did the garlic mashed potatoes that TJ had as a side. Julia's french fries that I commandeered were good, tasted homemade although her quesedilla looked like it needed a little more love. I didn't try it, so I can't say for sure.
All in all, a good family place to go on a Sunday.