I found an estimate of 4,300 non-combatants killed during the war.
Simple subtraction means at least 10,000 killed since the war.
Of course, that's excluding the likes of the Lancet survey which estimated 100,000 extra deaths had been caused as a result of the impact of the war.
EDIT;
http://en.wikipedia.org/wiki/Iraq_war_casualties[q]Dead
* Iraqis:
o Total:
+ estimated 100,000 excess deaths (8,000 to 194,000 at 95% confidence interval), with roughly three times as many injured (by September 2004 (from a study in The Lancet).
o Military/combatants (very rough estimates):
+ during the 6 weeks of "major combat" in March–April 2003:
# 30,000 (estimate by General Tommy Franks)
# 6,119 to 15,925 (from a compilation of incident reports)
# 4,895 to 6,370 (one study's estimate)
# 13,500 to 45,000 (one journalist's estimate)
+ around 124,000 U.S. troops believe they killed one or more Iraqi combatants in 2003
o Civilians:
+ estimated >36,533 during March-October 2003 ("100% sure" tally by survey in Iraq that assumes paramilitary bodies are not brought to morgues)
+ 14,378 to 16,514 reported by two or more news organizations (These include "all deaths which the Occupying Authority has a binding responsibility to prevent under the Geneva Conventions and Hague Regulations. This includes civilian deaths resulting from the breakdown in law and order, car bombings and beheadings by the "insurgents" and deaths due to inadequate health care or sanitation.") (as of November 14, 2004)
+ around 41,000 U.S. troops believe they killed one or more Iraqi civilians in 2003
* Coalition (figures as of December 19, 2004 if not otherwise dated):
o Military:
+ 1,353 U.S., at least 1,060 by hostile forces (as of January 9, 2005 [1] (
http://www.editorandpublisher.com/eandp/news/article_display.jsp?vnu_content_id=1000727180))
+ 76 U.K.
+ 84 from all other coalition countries
o Civilians:
+ at least 202 contractors/security personnel
# 68 U.S.
# 134 other (includes some from non-coalition countries)
+ more than 150 UN personnel/foreign civilians
+ more than 30 journalists
[/q]