The 2009 race was canceled because of recession-related sponsorship problems but the Capital Criterium is back. The race takes place on and around Pennsylvania Ave. NW. Because of the multiple laps, the race is more spectator-friendly than a point-to-point long-distance race.
Unlike the Air Force Cycling Classic, there don't seem to be any options for the general public to ride, except for the kids' races.
For more info about the course and the schedule, check out the official website: