When I’m not listening to heavy music, it isn’t electric guitar-oriented music. If I’m listening to something with distortion, it better be heavy stuff. With that being said, non-rock/metal music that I like is ambient music, movie soundtracks, Scandinavian/Viking folk music, Japanese folk music and industrial-darkwave sort of thing.
I’m not really listening to jazz or classical (except when it’s a part of a soundtrack), but it’s something that I’d like to apply to my playing eventually, because a lot of those classical arrangements are incorporated into metal, whether it be in songwriting or even with the instruments themselves. If Bach was alive today, he would most likely be playing symphonic keyboard parts in Dimmu Borgir, I feel like that sort of thing would attract him.