Playing the 'race card' is an interesting term to me. Because most people mistakenly believe that calling attention to racial injustices and playing the race card is one in the same.
I've noticed that people only take issue with the 'race card' when it someone of African American decent calling attention to racial injustice. But it's not taken the same way when issues of ethnicity are being addressed by (say for the example) the Jewish or Asian communities.
To me, when someone who's not really qualified for a job or his/her performance in a specific function of life is sub-par; and are let go or fired from their current station while professing it was due to their ethnicity; then to me that's playing the race card. And I've witnessed this happen first hand.
Now, when calling attention to racial injustices that could include:
A. Calling attention to the number of African/Hispanic/Latino/Mexican Americans who're incarcerated on non-voilient offenses vs that of Caucasians.
B. The lackadaisical attitudes taken by law-enforcement to find missing and exploited children of color vs. that of nation wide press coverage for blue eyed, blond haired Caucasians.
C. The 'quality' or lack there of in music and entrainment geared towards a predominantly African American Audience vs. that of others. Black media is always laced with stereotypical images and hyper-sexuality; and in most cases materials not suitable for children; but is out kids who listen to and watch this media and emulate the behaviors being presented.
THAT is calling attention by stating the obvious. The obvious factors would be that more minorities here in the United States spend more time in jail/prison for lesser non-volinet offenses than that of whites. The number of Black/Hispanic/Latino/Mexican women and young girls sold into human trafficking surpasses that of White/European women here in the U.S.; but get less attention in the media. And minority entertainers in most cases do not become famous with out re-creating the pre molded 'bad boy' thugs and sluts images that are stereotypical of our people.