Baghdad's decade-old curfew ended Sunday, even though a series of bombs killed at least 37 people and wounded scores more Saturday.
In one case, a suicide bomber set off explosives on a busy street near a restaurant, killing at least 22 people and wounding many others.
There was no immediate claim of responsibility for the blasts.
The attacks came ahead of the government's lifting of its nighttime curfew in the capital, which was intended to reduce violence and kidnapping.
Iraqi Prime Minister Haider al-Abadi met with U.S. Vice President Joe Biden and Secretary of State John Kerry in Munich, where U.S. officials said they discussed efforts to fight the Islamic State militants and the importance of a comprehensive approach to providing sound local governance, reconstruction and economic opportunity in areas liberated from the group.
In another development, the remains of at least 16 members of the Yazidi religious minority were found in a mass grave in northern Iraq.
Yazidis are ethnic Kurds whose ancient, monotheistic religion has links to Zoroastrianism.
Yazidis have suffered repeated bouts of discrimination over the centuries, in particular from Arab Muslims.