Anyone owed true reparations would have been the slaves freed by Lincoln because the very act of freeing them was an admission of the crime. Problem is that all those folks are long dead, never sought reparations, and while there were still some civil rights violations going on in the 60's, those would, like you said, be individual cases.
More to the point is the problem of forcing people who never committed any crime in being made to pay people who were never wronged! Worse, if blacks are owed reparations just for being black, what about the American Indian? Not only were they nearly exterminated by genocide, they were farmed into slave camps called reservations, then we stole their entire country.
Blacks were sold into slavery for the most part by other blacks, and last I checked, Africa is still there.
However, any blacks today still wanting reparations, I would be good with giving them a free one-way ticked back to Botswana. I mean, if we are so terribly bad, why would they want to stay here?