If you get tickets for Ford's Theater, try Bistro D'oc. It's not as fancy as any of the others, and is a bit Euro-bohemian, but I have consistently great dinners there. For fancier, over there, I think Jose Andres Minibar only takes reservations a month out, so that could be worth a try. The outside bar at, I think, Poste Modern, has fluffy blankets, fire pits and adult cocoas, which could be quirky fun for a romantic evening.
Those are all a couple block walk from the Willard. Closer by, I've really enjoyed Ceiba. I don't do dinners at Old Ebbitt but I do like to stop by for a martini and a plate of oysters after theater, if we're in that part of town.
I've always thought La Chaumiere in Georgetown looked uber-romantic but have never actually been.