Everything they've built will fall! And from the ashes of their world, we'll build a better one!
~ Apocalypse while recruiting Magneto to his ranks
While it's true I once desired destruction… and the only goal I had was revenge… things are different now. Because that which is destroyed can always be fixed and rebuilt. Villages freed from the clutches and employ of darkness… what I desire is to reform the entire shinobi world! What I am calling for, what I am bringing forth… that is… Revolution.
~ Sasuke Uchiha to Kakashi
Together, my lord Sauron, we shall rule this Middle-earth. The old world will burn in the fires of industry. Forests will fall. A new order will rise. We will drive the machine of war with the sword and the spear and the iron fist of the orc.
~ Saruman

A Harbinger for Rebirth is a subcategory of Cataclysm, in which the villain is not content with just destroying the entire world, universe or realm, but to '"revitalize" it, i.e. to have a "fresh start." They usually believe that humanity (or the current population of the realm, such as the Rats in Flushed Away whom the Toad wants to eliminate), as a whole, is beyond redemption and thus deserves nothing but destruction.

The motives for rebirth are far and wide, such as to obtain absolute power over the Universe or to remake it in his own image (the Dark One), to doom humanity for all time (as in the case of Sephiran), or as a twisted hope for redemption (as in the case of Shunack).