Here is my problem and I have never seen this before in Blender:
I'm making a Minecraft Animation and on multiple frames there are unrendered transparent pixels scattered across the image (resulting in black spots). I have googled around and only found answers related to Cycles render which doesn't apply to my situation as I use Blender Internal.
I made a video explanation to show in detail what is happening:

(https://youtu.be/YbWy8n2figo)
UPDATE: Thank's all those who helped me out. It turned out to be a problem with "Auto Ray Bias." This thread answered my problem. Cause of Alpha or Black Artefacts in Render