As of now, my favorite band is Porcupine Tree.
I like a lot of their songs because they manage to sound different from most generic rock bands, but they don't overdo the strangeness in their music; actually, I'd say quite a few of their songs are pretty radio-friendly like Piano Lessons or Trains.
Also, as a drummer, I have to say that their drummer, Gavin Harrison, is probably the most inspiring and creative drummers I've ever seen. I've heard most of his work, but each time I relisten to a song he's performed, I always find myself inspired.
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