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Black Metal:
A genre of "controversy" from the playing style, and the ideologies of bands, to the unrelated actions of band members. In terms of music, black metal has undergone a few changes over the years.
1st wave: Really more thrash metal then black, most of these bands, like Venom, and Mercyful Fate, were really only tied together with the satanic theme of their lyrics. Venom's Album "Black Metal" is what coined the name for this genre. How ever it wasn't to the second wave that a sound was given to the genre.
2nd wave: This is more what people tend to think of when they think of black metal, Mayhem, Immortal, Burzum, Darkthrone, and Emperor. They defined the sound for black metal, and made headlines with their antics. Disregarding the drama that followed the band members, and getting to the point: Black metal is defined by staccato picking (though not necessary it is generally employed by every black metal band in at least one song), blast beats, dark melodies, very little harmony in riffs, harsh vocal delivery (though again not required), the recording quality is usually extremely lo fi, with some bands recording with a tape recorder tossed in front of them(this is not the case with some newer bands who have picked up a more atmospheric, but no so much lo fi approach.) and the most important, a Dark, evil, or oppressive atmosphere through all the music. If you listen to black metal it should feel like you are listening to the cacophony echoing out of the depths of hell.

I usually don't like to make a lot of suggestions regarding getting into black metal, because it's a pretty rough genre to get into any ways, but also keeping some bands to yourself is just some thing you do in this genre. Every one who listens has their little gems they don't want any one else to know about.
Any ways for this genre I would suggest first looking into all the first and second wave bands.
Mainly:
Venom, Bathory, Mercyful Fate, Celtic frost, Immortal, Burzum, Darkthrone, and Emperor. (I left out mayhem, because really they aren't that amazing, but if you want to be through feel free to check them out as well. I feel like Burzum coves most of what mayhem can give you, and does it much better as well.)
In addition I would recommend checking out Agalloch, Primordial, and Dawn, since they have a little more of an artsy flare, and aren't as difficult as most black metal bands.

(Just FYI Puritanical, Wolf and White Skull are speed metal not power metal.)

There's no power metal influence in either of them I'm sure. Speed metal is more like a middle ground of thrash and Heavy though. I'll have to listen to white skull again to make sure though.
Listening to white skull again, maybe you are right there.

Well power metal is really more just branched off of heavy metal, because speed metal is more thrashy you know? They don't have as harmonic riffs and stuff.
But yeah listening to white skull I think that would work. But wolf (assuming it is the japanese one.) is def. speed metal.

Yea, The Wolf I got (Evil Eye album) is deffinetly speed metal. Yea, speed is thrashy, but power metal takes a lot from speed because of the speed they play at. They're like speed, mixed with symphonic, melodic and clean as hell vocals. For some of it that is.

@ Goshikku: Yea, some of their songs really sound like power metal, and some sound like speed metal, depends on what ones you listen to.

Speed metal isn't name so simply because of fast playing though. It's more, that it was more aggressive then heavy metal, in it's riffing, as if it was heavy metal on speed. I'm pretty sure.

Yea, that's how I look at it. Speed metal is a faster version of heavy metal, but I like it better for being that way, cause speed is what I aim for smile