Here is an excellent summary report that brings together many stories we have posted here. Dr. Nimrod Raphaeli in MEMRI (with thanks to the Constantinopolitan Irredentist), discusses the plight of Iraqi Christians:
The high level of violence in Iraq has affected every sector of the Iraqi population, and Christians are no exception. Christians, however, have been specifically targeted by Islamists, who either accuse them of collaborating with the “invading crusading army” or label them infidels. As Islamist pressures mounted in Iraq, following its occupation, Christian businesses were destroyed, Christian university students were harassed and Christian women were forced to wear the veil. …
Recently, the unidentified “Brigades for the Liquidation of Christian Agents and Spies” has threatened to liquidate those working with the multinational forces and to “pursue them in their homes and churches.” In placards posted in Christian areas, the Brigades wrote:
“The Christian minority enjoys peace and security in the land of the Muslim and in our country in particular. Its members have held senior positions in the State. But their malevolence toward Muslims became evident when the occupier entered our country. He found great support among them in the form of translators and agents who acted as informers against Muslims. Their churches receive evangelist groups. They spread moral corruption and pornography in our streets. Muslims have been arrested, women raped and houses destroyed as a result of Christians being agents of the occupiers.” 
Violence Against Churches
In August 2004, five churches, one in Baghdad and four in Mosul, were hit in one day, in a coordinated attack that killed 12 people. In October, five churches in Baghdad were hit on the first day of the Muslim month of Ramadan. In November, eight people were killed in two church bombings.  The August attack on churches was followed on September 10 by mortar attacks against the Assyrian town in Bakhdeda (also referred to as Qarqosh ) in the Ninevah Governorate in northern Iraq. 
The Destruction of Businesses
With the public sector and the military all but closed to them, Christians have focused on the services sector of the economy and retail business. Because of Islamic restrictions on alcohol consumption, Iraqi governments have limited the liquor retail business to Christians, who, in turn, have been meeting an obviously high demand for alcoholic beverages among a large segment of the Iraqi Muslim population….
Shortly after the fall of Saddam, Islamists, who took control of the streets of many Iraqi cities, began to target Christian owners of liquor stores. They first ordered the owners to close their businesses; if the owners failed to comply, the Islamists gutted the stores and often killed the owners. An example is liquor merchant Bashir Toma Alias, who was shot in the head in the center of a bazaar in Basra while on his way home to celebrate Christmas. …
Often the police stand idly by in the face of crimes committed in their presence because they are afraid of the armed Islamists or because they sympathize with their aims.
The Christians complain that after they were driven out of the liquor business by Islamist groups, Muslims have taken over the business and continue to sell liquor publicly. 
The Islamists have also targeted barber shops run by Christians because the Islamists object to haircuts and to shaving. 
Harassment of Students
Christian students at Iraqi universities are also subjected to harassment and often to violence. At the University of Mosul, the second largest university in Iraq, 1,500 Christian students recently decided to suspend their studies because of threats to their lives by Islamists who have taken control of the university.  Because many of these students traveled to campus in buses from outside the city, they were afraid that their transportation would be bombed if they persisted in attending the university. …
Christians celebrated Christmas in their homes, for fear of attacks. Most churches avoided the traditional midnight Mass or large gatherings of churchgoers.  Indeed, the churches called upon their parishioners to avoid coming to churches on Christmas out of concern for their safety. …
Conversion to Islam
Chaldeans also complain about pressures to convert to Islam. When a parent converts to Islam all minors in the family are forcefully converted regardless of the wishes of the other parent. 
Even though this is a long excerpt, there is much, much more. Read it all.