The deadliest attack occurred when a suicide bomber detonated his vest of explosives in a popular cafe in the Amil area in southwestern Baghdad, killing at least 37 people and wounding 42, a police source said.
Two people were killed and four were wounded when a roadside bomb struck a civilian car travelling on the highway near the Amiriyah area in western Baghdad, the police source said.
Five people were injured when another roadside bomb exploded in the Ghazaliya area in western Baghdad, he added.
UN: 6,000 Iraqis have been killed from Jan to Sep
The deadly bombing attacks in Baghdad on Sunday evening came after at least 12 people were killed and 27 wounded in suicide bomb attacks on a local government compound in Iraq's western province of Anbar at noon.
No group claimed responsibility for the attacks.
According to the UN Assistance Mission for Iraq, almost 6,000 Iraqis were killed and over 14,000 injured from January to September this year.