Authorities said most of the bombings were at public markets and bus stations, The New York Times reported.
Two people were killed and 10 were wounded when a car bomb exploded near a public market in the Huriya neighborhood in northwestern Baghdad, police said.
In southern Baghdad's Abu Dshir neighborhood, a bomb in a parked car exploded near a public market, killing six civilians and wounding 14 others, police said.
Six people died and 18 were injured by a car bomb at a market in the Saba al-nor district, while four were killed and seven injured by a bomb at a market in Mashtal district, Chinese news agency Xinhua reported.
A bomb off a thoroughfare in the southern district of Baiyaa killed five people and injured 11, and twin bombs at a crowded market in Nahrawan killed five people and injured 17.
Up to 14 people were killed and 55 injured by a suicide car bomb that went off near soldiers and retired military officers who were gathering to collect their salaries at a bank in Mosul, Xinhua said.
"The deaths were three soldiers and 11 civilians, and the wounded were nine soldiers and 46 civilians," a provincial police source said.
Another three soldiers were killed and one was wounded in a roadside bomb near a patrol area in al-Rashidiyah in Mosul.
Also in Mosul, an unidentified man shot dead two construction workers, Xinhua reported. Gunmen attacked a house near Dowr, killing a member of the government-backed Sahwa paramilitary group, his son and a nephew, police said.
Another Sawha member was injured in a roadside bomb attack in the same region.
In the eastern province of Diyala, gunmen shot and killed two farmers.
No group has claimed responsibility for Sundays attacks, though authorities suspect al-Qaida in Iraq, Xinhua reported.