I think my favourite styles are, in no particular order: black, death, melodeath, folk, power, doom; things like thrash, traditional, NWOBHM, don't seem to do to for me as much. Aside from particular styles, I go for more melodic/epic-sounding stuff.
Band names I'm not so good at, I just like listening to the music but let's see... Sepultura and Moonsorrow I have to list first because they got me into metal in the first place and are my favourite single band, respectively. Apart from those, again in no particular order: Amon Amarth, Blind Guardian, Immortal, Om, Sunn O))), Rammstein, Korpiklaani, Meshuggah, Finntroll, Devin Townsend are pretty up there.
I'm posting here because I don't have contacts among musicians, so I haven't had opportunity to practice with others or get a band going so far. I've gradually written quite a few lyrics, but I reckon I'll need more than just me to get something done with them.