This is an important topic. I agree with you that racism exists today, but it would be important to say that we have made some great strides in this area. To make this statement shows that you are a balanced person in your opinions. Now, here are some examples that racism exists today.
First, the Trevon Martin case might be a good place to start. The very fact that nothing was done to Zimmerman initially suggests that racism had a very big role. Most social commentators agree. Imagine if an African American shot a white youth. Things would be different.
Second, the very fact that the KKK and white supremacists groups exists today shows that there is racism of the more ardent stripe as well.
Third, the way the media treated Jeremy Lin also shows that there is racism towards Asian athletes. Half of the stuff that reporters said about Jeremy Lin would have not been said if he were an African American.
Finally, to complicate matters a bit, you might want to talk about reverse racism as well.