The Church of the Holy City (Swedenborgian) is the church I attend most Sundays. They will hold Christmas Eve Lessons and Carols at 4:00 pm — this might be the earliest Christmas Eve service in the city! — at the corner of 16th and Corcoran Streets, NW.
If you need an early service intown Washington, this might be the place for you.
There are four — count ’em, four! — Christmas Eve services at the First Parish in Concord, Mass. The first is at 4:00, but I’ll be cheering on Mrs Philocrites’ children’s pageant at her Episcopal church at that early hour.