When I was around 14 I would listen to Asking Alexandria and Escape the Fate. Now I listen to bands like Architects, Converge, and The Dillinger Escape Plan.
It's important to remember that they will grow out of this when they get close to college.
I think most kids like whatever doesn't have a ton of screaming and isn't jarring. That's why bands like A Day to Remember and Chunk no Captain Chunk are popular.