I tend to like solo artists more (like Arca, Aphex Twin, Clams Casino, Clark, etc.), but as far as bands go, I've always really liked Coheed and Cambria.
As for actual bands and not solo musicians I really love Grateful Dead and whatever band Olvido 'Alaska' Gara has been in like Kaka De Luxe, Alaska y Los Pegamoides, Alaska y Dinarama etc.
I listen to all kinds of music but my all time favorite band has to be the Doodle Bops. I'm just kidding, my all time favorite band is Daughtry or Nickleback (Their old music atleast).