Taken from various sources and lists, including Wikipedia. Archiving for reference as a secondary source.

February 14, 2010 - Richmond, California - Three hooded men walk into Gethsemane Church of God in Christ and opened fire and then fled the scene, as the singing of the choir was replaced by frightened screams. The two victims, a 14-year-old boy and a 19-year-old man, were hospitalized.--shooters were hooded, unknown race. Town is mixed demographically, unknown victims.

March 8, 2009 - Maryville, Illinois - Suspect Terry Joe Sedlacek, 27, of Troy, walks into the First Baptist Church, and shoots pastor Fred Winters dead, point blank. Several church members are injured by a knife in the struggle to capture after the attack, The suspect also had stabbed himself, but survived, when his gun jams.--white attacker, probable white victims, per names and local demographics

July 27, 2008 - Knoxville, Tennessee - A gunman opens fire in a church during a youth performance, killing two people and injuring seven.--Jim D. Adkisson.  White shooter, white victims.

Dec. 9, 2007 - Colorado - Three people are killed and five wounded in two shooting rampages, one at a missionary school in suburban Denver and one at a church in Colorado Springs. The gunman in the second incident is killed by a guard.--probable white gunman and victim, per names

May 20, 2007 - Moscow, Idaho - A standoff between police and a suspect in the shootings of three people in a Presbyterian Church ended with three dead, including one police officer.--white shooter, white victims

Aug. 12, 2007 - Neosho, Missouri - First Congregational Church - 3 killed - Eiken Elam Saimon shot and killed the pastor and two deacons and wounded five others.--Micronesian shooter, probably white victims

May 21, 2006 - Baton Rouge, Louisiana - The Ministry of Jesus Christ Church - 4 killed - The four at the church who were shot were members of Erica Bell's family; she was abducted and murdered elsewhere; Bell's mother, church pastor Claudia Brown, was seriously wounded - Anthony Bell, 25, was the shooter.--black shooter, black victims

Feb. 26, 2006 - Detroit, Michigan - Zion Hope Missionary Baptist Church - 2 killed + shooter - Kevin L. Collins, who reportedly went to the church looking for his girlfriend, later killed himself.--black shooter, black victims

April 9, 2005 - College Park, Georgia - A 27-year-old airman died after being shot at a church, where he had once worked as a security guard.--given the demographics of the area, probably a black shooter and black victims

March 12, 2005 - Brookfield, Wisconsin - Living Church of God - 7 killed + shooter - Terry Ratzmann opened fire on the congregation, killing seven and wounding four before taking his own life.--white shooter and victims

July 30, 2005 - College Park, Georgia - World Changers Church International - shooter killed - Air Force Staff Sgt. John Givens was shot five times by a police officer after charging the officer, following violent behavior.--from article, attacker probably black

 Second more recent shooting at same church--black shooter. https://www.youtube.com/watch?v=1v8Y_pY4sIE

Dec. 17, 2004, Garden Grove, Calif.: A veteran musician at the Crystal Cathedral shoots himself to death after a nine -hour standoff.--suicide

Oct. 5, 2003 - Atlanta, Georgia - Turner Monumental AME Church - 2 killed + shooter - Shelia Wilson walked into the church while preparations are being made for service and shot the pastor, her mother and then herself.-black on black violence, domestic incident

June 10, 2002 - Conception, Missouri - Benedictine monastery - 2 killed + shooter - Lloyd Robert Jeffress shot four monks in the monastery killing two and wounding two, before killing himself.

March 12, 2002 - Lynbrook, New York - Our Lady of Peace Catholic Church - 2 killed - Peter Troy, a former mental patient, opens fire during Mass, killing the priest and a parishioner. He later receives a life sentence.--unknown, names and location suggest white

May 18, 2001 - Hopkinsville, Kentucky - Greater Oak Missionary Baptist Church - 2 killed - Frederick Radford stood up in the middle of a revival service and began shooting at his estranged wife, Nicole Radford,  killing her and a woman trying to help her.--black on black domestic incident.

Sept. 15, 1999 - Fort Worth, Texas - Wedgewood Baptist Church - 7 killed + shooter - Larry Gene Ashbrook shot dead seven people and injured a further seven at a concert by Christian rock group Forty Days in Fort Worth, Texas before killing himself.--victims appear to be mostly white

April 15, 1999 - Salt Lake City, Utah - LDS Church Family History Library - 2 killed + shooter - Sergei Babarin, 70, with a history of mental illness, entered the library, killed two people and wounded four others before he was gunned down by police.--victims white

http://www.foxnews.com/us/2015/06/18/from-bombings-to-fires-to-shootings-partial-list-attacks-on-black-churches-in/ — June 1996: Then-President Bill Clinton appoints a task force to investigate a spate of church fires, particularly at black churches in the rural South. Of 670 incidents that were investigated nationwide by October 1998, 225 involved black churches.

Looks like blacks kill a lot more black worshippers than whites. black shooters. And whites tend to target other whites. THAT is your pattern.  You can dislike facts, but you can't ignore them.  But doesn't it make sense that they're usually pissed off at someone in their own community?

As to burnings, it will take more time than available to ID the perps in those cases, but the sheer number suggests a small group dedicated to the task, and even then, black churches are only slightly over-represented on a demographic basis.

Does not include the more recent SC church shooting that was definitely racial in nature, with a white shooter and black victims.