How many episodes of the original Twilight Zone address racism and how many of the new episodes do also?

A quick Google search doesn't show the answer, I'd imagine you'd have to go through all the episodes and check yourself. All I can tell you is what I know myself, which is that one episode of the classic show dealt with racism and people found in offensive in the 60s, and that I watched 5 episodes of the new show and one was about a racist police officer who keeps killing a black teen over and over as time was resetting. I wouldn't be surprised to learn that a higher percentage of the new series was about race, as the showrunner is a black man himself who has produced multiple horror films that focus on the subject of race. 

You would have to look up the episode guide.  The one episode  I remember from the original series starred Vic Morrow as anti-semite.  He is transported through time and is hunted by Nazi soldiers. When he is finally captured he keeps saying that he shares the same beliefs.  The final scene shows him in a railway boxcar and being transported to a death camp.