I like a lot of classic rock and listen to that when I'm in the mood, but most of my listening is devoted to metal. My favorite types include prog and power and I lean towards epic symphonic stuff, especially if it's melodic with beautiful voices and poppy with catchy hooks.
Some of my favorite bands right now (in no particular order):
Symphony X
Seventh Wonder
Kamelot
Nightwish
Those last two my wife and I took our six year old girl to see in concert. She loved those shows!
I'm also a big Beatles fan, and Led Zep are my fave of all time.