Taken from various sources and lists, including Wikipedia. Archiving for reference as a secondary source.
February 14, 2010 - Richmond, California - Three hooded men┬áwalk into Gethsemane Church of God in Christ and opened┬áfire and then fled the scene, as the singing of the choir┬áwas 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┬áSedlacek, 27, of Troy, walks into the First Baptist Church,┬áand shoots pastor Fred Winters dead, point blank. Several┬áchurch members are injured by a knife in the struggle to┬ácapture after the attack, The suspect also had stabbed┬áhimself, 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┬áin a church during a youth performance, killing two people┬áand injuring seven.--Jim D. Adkisson.┬á White shooter, white victims.
Dec. 9, 2007 - Colorado - Three people are killed and five┬áwounded in two shooting rampages, one at a missionary┬áschool in suburban Denver and one at a church in Colorado┬áSprings. The gunman in the second incident is killed by a┬águard.--probable white gunman and victim, per names
May 20, 2007 - Moscow, Idaho - A standoff between police┬áand a suspect in the shootings of three people in a┬áPresbyterian Church ended with three dead, including one┬ápolice officer.--white shooter, white victims
Aug. 12, 2007 - Neosho, Missouri - First Congregational┬áChurch - 3 killed - Eiken Elam Saimon shot and killed the┬ápastor and two deacons and wounded five others.--Micronesian shooter, probably white victims
May 21, 2006 - Baton Rouge, Louisiana - The Ministry of┬áJesus Christ Church - 4 killed - The four at the church who┬áwere shot were members of Erica Bell's family; she was┬áabducted and murdered elsewhere; Bell's mother, church┬ápastor Claudia Brown, was seriously wounded - Anthony Bell,┬á25, was the shooter.--black shooter, black victims
Feb. 26, 2006 - Detroit, Michigan - Zion Hope Missionary┬áBaptist Church - 2 killed + shooter - Kevin L. Collins, who┬áreportedly went to the church looking for his girlfriend,┬álater killed himself.--black shooter, black victims
April 9, 2005 - College Park, Georgia - A 27-year-old┬áairman died after being shot at a church, where he had once┬áworked 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┬áGod - 7 killed + shooter - Terry Ratzmann opened fire on┬áthe congregation, killing seven and wounding four before┬átaking his own life.--white shooter and victims
July 30, 2005 - College Park, Georgia - World Changers┬áChurch International - shooter killed - Air Force Staff┬áSgt. John Givens was shot five times by a police officer┬áafter charging the officer, following violent behavior.--from article, attacker probably black
┬áSecond 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┬áthe Crystal Cathedral shoots himself to death after a nine┬á-hour standoff.--suicide
Oct. 5, 2003 - Atlanta, Georgia - Turner Monumental AME┬áChurch - 2 killed + shooter - Shelia Wilson walked into the┬áchurch while preparations are being made for service and┬áshot the pastor, her mother and then herself.-black on black violence, domestic incident
June 10, 2002 - Conception, Missouri - Benedictine┬ámonastery - 2 killed + shooter - Lloyd Robert Jeffress shot┬áfour monks in the monastery killing two and wounding two,┬ábefore killing himself.
March 12, 2002 - Lynbrook, New York - Our Lady of Peace┬áCatholic Church - 2 killed - Peter Troy, a former mental┬ápatient, opens fire during Mass, killing the priest and a┬áparishioner. He later receives a life sentence.--unknown, names and location suggest white
May 18, 2001 - Hopkinsville, Kentucky - Greater Oak┬áMissionary Baptist Church - 2 killed - Frederick Radford┬ástood up in the middle of a revival service and began┬áshooting at his estranged wife, Nicole Radford, ┬ákilling her┬áand a woman trying to help her.--black on black domestic incident.
Sept. 15, 1999 - Fort Worth, Texas - Wedgewood Baptist┬áChurch - 7 killed + shooter - Larry Gene Ashbrook shot dead┬áseven people and injured a further seven at a concert by┬áChristian rock group Forty Days in Fort Worth, Texas before┬ákilling himself.--victims appear to be mostly white
April 15, 1999 - Salt Lake City, Utah - LDS Church Family┬áHistory Library - 2 killed + shooter - Sergei Babarin, 70,┬áwith a history of mental illness, entered the library,┬ákilled two people and wounded four others before he was┬águnned 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/┬áΓÇö 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.┬á You can dislike facts, but you can't ignore them. ┬áBut 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.