Hi Mary!
Unfortunately there aren't any character dining restaurants at Downtown Disney.
There are, however, some good theme restaurants such as Planet Hollywood (movies), Rainforest Cafe' (rainforest, mechanical animals), and T-Rex (dinosaurs).
Just a note that Rainforest and T-Rex aren't under the Disney Dining Plan.
But you can find some terrific non-character restaurants there under the Dining Plan such as Wolfgang Puck Cafe' and Cap'n Jack's Restaurant.
For more details on the dining areas at Downtown Disney, click here.
Bon Appétit on your next meal at Disney!