Supraaural means that it sits on top of the ears, while circumaural means that it goes around the ears. Either closed or open headphones can be either design. Your ear size can also play a part; headphones that are circumaural for a person with small ears could be supraaural for someone with large ears.
Even if you like all genres, it would be helpful to know what your favorite genre is, or what you tend to listen to more than others. For example, I love music from almost every genre, but I tend to listen to progressive rock more than any other genre.
Do you want another studio reference headphone, like the M50, or do you want something that's "more fun" to listen to, even if it's at the expense of some accuracy in the sound?
As K_19 asked, what's your budget range?