New school hip-hop
It is usually called just "hip-hop". The reason why I call it "new school hip-hop" is that if you just call it "hip-hop", it sounds like breaking is not "hip-hop". Since so called "hip-hop" and "breaking" are both hip-hop, I call it "new school hip-hop" and "old school hip-hop".

New school dance is a form of hip-hop dance which is different from breaking. Back in the days, old-school music had fast beats which matched breaking move. Music such as "Planet Rock" and "Just Begun" are good examples. As you know, hip-hop music is always changing. As the music changed, people realized that breaking doesn't fit with the many of new school hip-hop music. That's how new-school dance started out. Around 1986, which is the early days of new school dance, the moves were very simple. Steps called Wap, Running man, Roger Rabbit, and Robocop were popular steps in this era. These were exactly what everybody can do. You see lots of rap videos featuring dancers during this period. However, new school dance in present time is much more evolved and complex. Many dancers twisted popping or electric boogie and put into their moves. New styles come from everywhere. People take moves from martial arts, reggae, locking, and even 70s soul train steps. Since most of rappers don't use dancers these days, it is really hard to see this new form of dance. I have been to many clubs in many states and I realized that gap of level in term of new-school dance is really huge. Some people are still doing running man and they think it is new-school.

As far as I know, New York City is the best place to see new-school dancers. The party called "MECCA" at Tunnel on every Sunday is where many dancers get together. New-school dance is also big in Japan. There are many dance competitions in Japan.

One old school dancer may dis new school by saying "new school moves are something everybody can do compared to windmil, 1990, and headspin." He misses the point. New-school dance is more about flavor. It is not about what you can do. It is more about what you do to the music. (Of course, new school dance still requires skills, though.) This concept is close to footworks in breaking. Therefore, you can't just say which is better, old school or new school.