U.S. Capitol:  I very highly recommend touring the Capitol via the new nearly billion-dollar Visitor Center.  Google and reserve tickets for that.  The Visitor Center is a museum in itself and has some very interesting artifacts, including a draft of the Constitution.  Exhibits rotate.
http://www.visitthecapitol.gov/The Capitol is quite restrictive on what you can bring in, but not as severe as The White House:
http://www.visitthecapitol.gov/Visit/Visitor%20Safety%20and%20Policies/Backpack Warning: Do not bring large daypacks, backpacks or luggage into the Capitol. Any bag larger than 14" wide x 13" high x 4" deep is prohibited. Other restrictions include cans and bottles, full or empty.
Newseum:  Everyone raves about this recent addition to Washington.  It's one block off the Mall.  A ticket is required (the Newseum is not government or Smithsonian).  This was my nieces' favorite place.  Worth Googling.  A neighbor of mine was down there last week and said there is a Kleenex dispenser at the 9/11 exhibit.
Spy Museum:  Also requires a ticket.
Memorials: I think that especially in summer, the Lincoln, Jefferson, Washington, Vietnam, Korean and World War II memorials are best seen at sunset and after dark.  Or very early in the morning -- sunrise.  The Mall cools off appreciably because the grass does not retain the daytime heat like the asphalt and brick neighborhoods do.  There is usually a breeze at night on the Mall.
Arlington National Cemetery:  If you've not been, I very highly recommend.  The cemetery is very welcoming of visitors (it's even dog-friendly), fascinating and sobering.  There is a parking garage.  It's about a mile walk from the Lincoln over Memorial Bridge.  There's a Metro stop or you can Tourmobile. 
That's about it off the top of my head.  Please feel free to PM me about your trip.