Uh, not to be an elitist dick-waffle, but as a big metal head, I disagree with a lot of your categorizing in the poll.
-Grunge isn't even close to being a genre/sub-genre of metal...
-"Pagan metal" isn't an actual genre (But I don't consider any "[instert religion] bands" separate genres personally). Amon Amarth is firmly in the melodic death metal sub-genre of death metal and, even though this is the first I've heard them, Hagalaz' Runedance sounds really folk metal-y, so why isn't it in that category? Aso, I think that a lot of bands that you'd maybe consider to be "pagan metal" would be very folk metal oriented.
-Death metal is a VERY broad category (almost as broad as just saying "metal") with numerous sub genres. For your examples, Meshuggah is progressive death metal, and I'd consider Behemoth to be black metal actually (but I can also see them categorized as regular death metal with some black metal influence as well).
-Nine Inch Nails is not Nu-metal. Nails is most definitely industrial.
-I dislike joke answers to polls. They throw off the data. Also, you must make all joke answers involve "bacon" in some way if you insist on using them.
With all that out of the way, here's my answer. As you can see, I have a large interest in the whole metal genre, so I really don't have one favorite genre. I like bands/songs from all and hate some bands/songs from all as well. If I had to pick a few genres/sub-genres that really define my taste in metal they'd be: Doom metal, thrash/speed, progressive metal/progressive death metal, black metal, classic metal, stoner metal, industrial, and melodic death metal.
EDIT: Upon rereading, my post does kinda make me out to be some elitist dick-waffle. Oh well, I have the right to be a knob-head about a certain topic, may as well make it metal genres. lol
(EDIT: For TL;DR just look at what ron1n said v)