Note: Since The Justice League and the Animaniacs (and, for that matter, BOTH HALVES of each of the Amalgams in this story) are copyrighted by Warner Communication, I'm naturally writing this story for absolutely NO profit motive.
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This is the story of how the Toons United for the Greater Good (the T.U.G.G. for short) first, well, united.

We open it on April 1, 2001 on the far-off planet of Warnipolips, where a short, but very ominous-looking stone-skinned individual in a dark blue business suit with matching cape strolls into the middle of a poorly lit throne room.

"Soon, we will begin our next big project, the conquest of Earth. We don't know what these Earthlings might be capable of, so I'm allowing the green light on a big-budget so we can bring in some A-List invaders to ensure this world's subjugation." the individual said as he snapped his fingers bringing forth five of his best invaders.

The first to step forward is a reasonably tall black-furred skunk in a medium purple tunic and matching dress pants and a white cape. "Zee Lady Killer reporting for conquest duty, mon capitan CEO." the skunk replied in a fractured French accent as he made a courtly bow.
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The Lady Killer is a brilliant swordsman (Okay, swordsSKUNK) and a master of several martial arts and, on top of that, he, being a skunk, can wield a powerful spray from his tail in emergencies. All of these qualities combine to make the Lady Killer one of this short, but powerful-looking, stone-skinned evil figure's most formidable warriors. Indeed, perhaps the Lady Killer's ONLY real weakness is his tendency to chase after attractive female cats.
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The next to step forward is a tall, well-proportioned female blonde in skin-tight blue battle armor and a bright red cape. Raising an eerie-looking rod, this figure replied "Hello Warrior reporting for duty, almighty CEO of the Cosmos." in a ditzy-sounding voice that purposely belied her true intelligence and warrior spirit.
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In addition to the aforementioned rod, which can shoot out powerful energy blasts, Hello Warrior ALSO wields goddess-level physical strength and a keen warrior's mind, the latter of which is intentionally belied by her ditzy-sounding voice and beauty queen walk. Hello Warrior heads up the CEO of the Cosmos's team of elite female warriors.
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Third to come forward was a savage-looking furry brute dressed in black-and-green who spun out beside Lady Killer and Hello Warrior in the form of a small but powerful tornado. "Apparently, Wind Demon is ALSO present, CEO of the Cosmos." Hello Warrior observed.
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What the Wind Demon lacks in brains, he more than makes up for in overwhelming physical power, relentlessness and absolute loyalty to the CEO of the Cosmos. Simply put, the Wind Demon is one of the CEO's main enforcers. Also possessing an insatiable appetite, the Wind Demon will eat anything except the CEO of the Cosmos or one of the CEO's other henchbeings.
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Next to step forward was a grey-furred rabbit dressed in red armor covered with black spikes. Wielding an omnious-looking axe and chomping on a carrot, the rabbit said "Ehh... Wild Hare report'n fer duty, yer CEOship." with a decidely Brooklyn-esqe accent.
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The only thing about Wild Hare that's sharper than hid energy axe is his crafty mind. Wild Hare knows every trick in the book (and some he's just made up), can turn almost any situation to his advantage and has a sadistic sense of humor, all of which combine to make him a truly formidable opponent.
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Finally, a black-feathered duck dressed in green battle armor came bouncing in like a lunatic and said "Buggy Duck reporting for duty and you know what THAT means; this world is going to conquered by ME! You understand? ME; ALL ME! The rest of you get back. I'M conquering this world for the CEO. After all, I AM number two in overall power to the big cheese himself." in an obnoxiously egotistical voice.
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Buggy Duck IS, unquestionably, one of the CEO's most powerful warriors, but also, his most egotistical; being obnoxiously aware of his own vast physical strength and sundry energy powers.
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"You five will be given the task of conquering the planet Earth. You will each be outfitted with the best weaponry Warnipolips had to offer and an entire army at your respective commands. I have great faith that, between the five of you, Earth won't stand a chance no matter what surprises it may have prepared for us. Earth will be conquered by the end of the week, so says the CEO of the Cosmos." the stone-skinned villain said as he opened five portals in the room. As the CEO's five agents each stepped through one of the portals, the villain let out the typical arch-villain laugh.

To Be Continued

Amalgams used for this part

Warnioplips = Warner Studio Lot + Apokolips

CEO of the Cosmos = Darkseid + CEO Plotz

Lady Killer = Kanto + Pepe Le` Pew

Hello Warrior = Big Barda + Hello Nurse

Wind Demon = Kalibak + Tasmanian Devil

Wild Hare = Stephenwolf + Bugs Bunny

Buggy Duck = Mantis + Daffy Duck