The Iraq Body Count site estimates the civilian casualties in Iraq so far at somewhere between 5,531 (min) and 7,203 (max). The AP comes up with a lower number today, but reports that it is an incomplete counting at best — which suggests to me that the Iraq Body Count numbers are probably close to accurate:
BAGHDAD, Iraq (AP) — At least 3,240 civilians died across Iraq during a month of war, including 1,896 in Baghdad, according to a five-week Associated Press investigation.
The count is still fragmentary, and the complete toll – if it is ever tallied – is sure to be significantly higher.
(Emphasis added.)