The Kennedy Center is a good place to check out. There are different shows playing all the time and usually they are good. There are several theatres - some larger than others. Be sure to go to the MIllenium Stage shows - free shows every night! Explore the building, too, artwork and flags to admire.
Parking is super expensive, so take advantage of the free shuttle from Foggy Bottom metro. That is a much better option than paying to park at the Kennedy Center.
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