Good places to eat? Offbeat places to see? Shows?
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The Black Cat has a few interesting concerts and dance parties around Christmas (http://www.blackcatdc.com/schedule.html).
It isn't the best pizza you'll ever eat, but everyone should try Jumbo Slice (2341 18th Street NW in Adams Morgan) at least once.
I happened to go to the National Zoo today. It's isn't offbeat, but is still worth a few hours, even in the dead of winter.
-- "Hige sceal þe heardra, heorte þe cenre, mod sceal þe mare, þe ure mægen lytlað."