Well, I remember this movie and I did enjoy it, but I am not sure I recall the music in it. But after looking it up I see why this is on the top 100 list. Public Enemy "Fight the Power" mixed in with some jazz from Branford Marsalis might have done the trick. This comes in at #82. (Entertainment Weekly)
Spike Lee's Do The Right Thing (1989) was a powerful movie with a strong message regarding racism. I remember watching this and being very quiet after it finished. I don't think I have seen it since it came out so I might have to queue this one up again.
Do the Right Thing (Original Score) - The Natural Spiritual Orchestra