I work on that corner. Definitely recommend District Commons. Founding Farmers is also nice but District Commons is better. Prima Piatti has been hit and miss in my estimation although I gather lunch is better than dinner. Circle Bistro at One Washington Circle is also nice.
If you are willing to walk a few blocks, Westend Bistro (23rd & M) is absolutely fantastic.
There's no Silver Diner here. Maybe you are thinking of Johnny Rockets?