Ten Iraqis were killed and two wounded by a roadside bomb in Eskandiriyah, 65 km south of Baghdad, a police officer from Hilla said.
A suicide car bomber blew himself up by an Iraqi army patrol, killing four Iraqi soldiers, near Saddam's native village of Ojah, 180 km north of Baghdad.
In Tikrit, Mahamud Daham Bidewi, an assistant to the city's chief of staff during Saddam's regime, was killed when rebels fired a rocket at his home.
And six coordinated car bombs and a roadside bomb went off near churches across the Iraqi capital and in Kirkuk, Interior Ministry officials said.
Three people died and 11 were wounded in the two Kirkuk car bombs.
Six more were wounded by the Baghdad car bombs.
A roadside bomb also went off close to a church in central Baghdad, but there were no casualties.
Bob Woodruff seriously injured
ABC America’s news presenter Bob Woodruff, and veteran cameraman Doug Vogt are in a serious but stable condition after the vehicle they were travelling in hit a roadside bomb near Taji, north of Baghdad.
Both Mr Woodruff and Mr Vogt suffered head and body injuries from shrapnel even though they were wearing body armour, helmets and protective glasses, ABC News said.
"Bob and Doug continue to rest in stable condition in Iraq after their surgeries," ABC News president David Westin said in a statement.
Mr Woodruff and Mr Vogt have been flown to US medical facilities in Germany, for further treatment.
The two were embedded with the US army's 4th Infantry Division but were travelling in an Iraqi vehicle.
Mr Woodruff, 44, was earlier this month named co-anchor of ABC's World News Tonight program, considered one of the premiere jobs in US journalism.
Mr Vogt, 46, an Emmy- award- winning cameraman, is Canadian and lives in France.