Anti-bullying programs absolutely need to specify different ways that bullying occurs, that's called teaching. You don't just say, "Hey everyone, be nice to each other, Ok?" That's not an effective way to teach anything.
You have to explain the different forms that bullying takes (online, physical, teasing, etc). You have to explain some of the common reasons that people are ridiculed that they might be desensitized to and not notice (making fun of their weight, appearance, sexuality, race, etc). These things all have to be explained to kids man. They don't automatically just get all of this from being told to be nice.
All of this was taught to me when I was a kid. The idea that we would actually stop teaching kids any of this is just bizarre.