The Big Four are great, but there are just so many unsung bands that get far less recognition than they deserve.
Just keeping the poll to ten bands for brevity's sake. One or two people might vote Sodom or Destruction, but I doubt they'll do anything but split votes from bands that actually have a shot. Feel free to riff on your non-poll fav bands though.
They're not the most consistent band, but Exodus were one of the bands that really started my thrash obsession back in high school, and they've been kicking my ass ever since. Love most of their old work, their new albums have some of the best moments in modern metal, and Gary Holt is just metal as ****. So they get my vote.