Even though I prefer HE-500, I would go LCD-2 rev2 considering those genres you listed...
You should realise that the bass of HE-500 is not close to accuracy and tightness of the LCD-2. The bass of HE-500 is wooly and unfocused and to get it into "tolerable" state even in eyes of a critical listener, you have to acquire a very well synergizing amplifier that can provide the power/current Hifiman HE-500 need. Even then, HE-500 are SIGNIFICANTLY WORSE in terms of bass quality than LCD-2 rev2.
On the other hand, you should also consider the fact that LCD-2 are very uncomfortable headphones - not only heavy and with uncomfortable headband (the same with HE-500 for both points) but with very very significant clamping force (this is a significant difference between LCD-2 and HE-500).
Both are similar in tonality but HE-500 are more neutral and provide a bit better soundstage, they sound a bit more open. LCD-2, on the other hand, sound almost like a closed-back headphone.
Technically, I find the LCD-2 to be a bit more advanced headphones... More accurate, more reference-like sound. HE-500 are just slightly more blurred and unfocused.
In the end, I would buy a HE-500 for myself... Because of the better comfort and closer-to-neutral tonality.
Edited by HeadNroll - 2/6/14 at 3:36pm