I pretty much only like metal, but I like a lot of it. To a point, of course. I stop liking it when it becomes too relentless/bad/nonmusical, i.e. Job For A Cowboy, or your stereotypical bad thrash.
That said, I like a lot of fairly extreme metal, bands like Arch Enemy and Children of Bodom as examples.
I don't like moshing. I think it's a little dumb.
Power Metal or whatever you want to call it is really what I like the most though, as standard genres go. I could name bands all day if I wanted to, but I won't, because it's probably a waste of your time, reader.
I, of course, won't leave out my second favorite, Symphonic/operatic/whatever, because it is freaking awesome.
The kind of music I really like the most is the kind that blurs genre lines, like Raintime, blurring the line between power metal and melodic death, kind of like metalcore taken to both extremes.