Alcohol stores in the neighborhoods of al-Adhamiyah, Bab al-Moatham and Karrada were targeted.
The attack in Karrada was two-pronged, with one explosion targeting a liquor shop and another targeting the car of the shop owner, al-Hurra reported, quoting security sources.
"Two people were taken to the hospital, one of them was in a critical condition and he died of his wounds," a security source told the Iraqi media outlet.
A group calling itself "Ahl al-Marouf" or "People of the Good" claimed responsibility for the Bab al-Moazam and al al-Adhamiyah explosions on its Telegram channel.
Rudaw contacted interior ministry officials for comment, but none said that could confirm the attacks.
At least 14 alcohol shops across the city had been firebombed in the middle of the night or just before dawn since October, AFP reported in December.
Most liquor stores are run by Christians or Yazidis, minorities who for decades have been granted the licenses required to sell alcohol in broadly conservative Iraq.
For years, their owners have paid protection fees to armed Islamist groups to guarantee they can keep selling.
"The shops that were attacked were paying protection for armed groups, but this is not seemingly enough anymore," merchant alcoholic beverages from Baghdad, who asked not to be named, told AFP in December.
