Are there any recent genocides like the Holocaust happening today?

Yes, in countries like Iraq, Bosnia and a few of the African nations. They call it "ethnic cleansing", but it's mass murder, just like the Holocaust.

I'm not an animal rights activist and I eat meat. But factory farms in the U.S. currently bear similarities to the holocaust as well. The way people are treating the animals in these farms really is disgusting and wrong. Of course there are differences to be considered between the value of human life and an animal's life, but suffering is always suffering. Check it out.