Tallon IVOn the planet Tallon IV, the Chozo predicted the impact of a stellar object that would bring a "Great Poison". They also foretold that a "Worm" would infest the planet and devour it from within. This prophecy eventually came to pass; a Leviathan eventually smashed into the planet, causing the spread of Phazon, either killing or corrupting all the Phazon came in contact with. The remaining Chozo eventually built a temple, called the "Cradle", to contain the Leviathan and the Phazon. Although the Chozo lived on as Ghosts, the Phazon still affected them, turning them into vicious, irrational creatures that would attack anything on sight. The Chozo held a prophecy, however, that a savior would come to their planet, a savior in the figure of a woman, who would destroy the "worm" and stop the "great poison".
When Samus Aran arrives on Tallon IV in the events of Metroid Prime, she manages to collect the twelve Chozo Artifacts, which were the keys to the Cradle. After discovering the "Worm", known as the Metroid Prime, she defeats it, and destroys Tallon IV's Leviathan.
AetherOn Aether, a stellar object, revealed to be a Leviathan, struck the planet, tearing open the fabric of space, and splitting Aether into two dimensions; Aether and Dark Aether. The Ing, the species of Dark Aether, invaded Aether, where the Luminoth resided. Although the Ing were nearly capable of exterminating the Luminoth, Samus arrives and manages to restore the power to Aether and defeat the Ing Emperor. As soon as the Ing Emperor is defeated, and the last of Dark Aether's energy drained, Dark Aether undergoes a cataclysmic destruction, implying that it's leviathan was destroyed.
The Brryo Leviathan was placed with a lot of violence. The inhabitants of Brryo are beasts that act on instinct, and they didn't stand a chance against the Space Pirates who wanted the Leviathan on Brryo. To disable the shield around the Leviathan, two power generators need to be destroyed, and one of the generators is guarded by two anti-aircraft turrets. The guardian of the Leviathan's core is Mogenar, an ancient war statue that was brought back to life through Phazon corruption.
ElysiaThe Leviathan on planet Elysia was planted without too much trouble; and Dark Samus had an entire squadron of Space Pirates surround the Leviathan, which Samus had to battle in order for her to proceed deep into the Leviathan itself. The Pirates were innumerable and Samus also had to protect a bomb which would crack open the Leviathan force shield protecting the beast from outside; the innumerable Pirates and the bomb threat made her journey into the Leviathan doubly difficult. But she reached the core eventually, and killed the Leviathan with Phazon, thus saving Elysia.
Unlike the other cases of Leviathan impact, the Space Pirates wanted a Leviathan on their planet, knowing the military benefits and power of Phazon. As most were already brainwashed by Dark Samus and her followers, the pirates rejoiced that the "Dark Hunter" would bring a Leviathan to their world. The guardian of the Leviathan's Core is Omega Ridley.
Leviathans vaguely represent the actual Leviathans of mythology, where they are shaped like squids. They have tentacles that propel them through space after being released from Phaaze. Each Leviathan has a core that relies on a Phazon-corrupted creature for protection, which is usually a local bioform. Dark Samus herself, aka Metroid Prime, was the local organism the Leviathan corrupted on Tallon IV. In Dark Samus' Leviathan, a control center is implanted within it's skull. Leviathans are also known for thier ability to open wormholes, which allows them to travel great distances in short amounts of time.