The only true death metal band you have on there is Cannibal Corpse. In Flames early stuff is more melodic death metal.
Melodic Death/Gothenburg (old), Alternative Rock/Metal (new)
Their old stuff (through Colony) is Gothenburg style melodic death metal. Reroute To Remain and Soundtrack To Your Escape are primarily nu-metal. Clayman, Come Clarity, and A Sense Of Purpose I would call melodic alternative metal.
Ehm no..learn a little about metal.
Suck a dick will ya?