A large number of bombings have taken place in Baghdad, especially since the beginning of the Iraq War. Wikipedia has individual articles on the following attacks:
1950s 1950–51 Baghdad bombings
2003 2003 Jordanian embassy bombing in Baghdad Canal Hotel bombing 27 October 2003 Baghdad bombings
2004 2004 Ashura bombings in Iraq
2005 17 August 2005 Baghdad bombings 14 September 2005 Baghdad bombings
2006 Buratha Mosque bombing 1 July 2006 Sadr City bombing 23 November 2006 Sadr City bombings
2007 Mustansiriya University bombings 22 January 2007 Baghdad bombings 3 February 2007 Baghdad market bombing 12 February 2007 Baghdad bombings 18 February 2007 Baghdad bombings 29 March 2007 Baghdad bombings 2007 Iraqi Parliament bombing 18 April 2007 Baghdad bombings 19 June 2007 al-Khilani Mosque bombing 26 July 2007 Baghdad market bombing 1 August 2007 Baghdad bombings
2008 1 February 2008 Baghdad bombings 6 March 2008 Baghdad bombing 17 June 2008 Baghdad bombing 28 September 2008 Baghdad bombings
2009 8 March 2009 Baghdad police recruitment centre bombing 6 April 2009 Baghdad bombings 23 April 2009 Iraqi suicide attacks 24 June 2009 Baghdad bombing 19 August 2009 Baghdad bombings 25 October 2009 Baghdad bombings 8 December 2009 Baghdad bombings
2010 25 January 2010 Baghdad bombings 1 February 2010 Baghdad bombing 4 April 2010 Baghdad bombings 6 April 2010 Baghdad bombings April 2010 Baghdad bombings 10 May 2010 Iraq attacks 20 June 2010 Baghdad bombings July 2010 Baghdad bombing 17 August 2010 Baghdad bombings 19 September 2010 Baghdad attacks 2010 Baghdad church massacre 2 November 2010 Baghdad bombings
2011 24 January 2011 Iraq bombings 27 January 2011 Baghdad bombing 28 August 2011 Baghdad bombing October 2011 Baghdad bombings 22 December 2011 Baghdad bombings
2012 5 January 2012 Iraq bombings 27 January 2012 Baghdad bombing 23 February 2012 Iraq attacks 13 June 2012 Iraq attacks 9 September 2012 Iraq attacks
2013 19 March 2013 Iraq attacks 18 April 2013 Baghdad bombing 27 May 2013 Baghdad bombings 21 September 2013 Iraq attacks 2013 Iraq Christmas Day bombings
2015 February 2015 Baghdad bombings 2015 Baghdad market truck bombing
2016 January 2016 Iraq attacks February 2016 Baghdad bombings April 2016 Baghdad bombing 11 May 2016 Baghdad bombings 17 May 2016 Baghdad bombings 2016 Karrada bombing 9 September 2016 Baghdad bombings October 2016 Baghdad attacks December 2016 Baghdad bombings
2017 January 2017 Baghdad bombings Al-Faqma ice cream parlor bombing
2018 January 2018 Baghdad bombings
2019 Attack on the United States embassy in Baghdad
2020 2020 Camp Taji attacks
2021 January 2021 Baghdad bombings