1. According to the Safari Joe episode, when Tygra is invisible, what is he capable of that normally he is not?
Groping, fondling and ogling. The "Locker Room" clause of his powers, if you will.
Dancing - nobody can see how stupid he looks anyway.
Avoiding to addiction.
Using his mind powers.
Swimming.

2. Panthro built the ThunderTank out of what?
The group of Berbils they landed on.
Those hard-as-rocks space rations.
From material he salvaged from the Mutants wrecked space craft.
Panthro didn't build it. Lion-O simply created it using the Sword of Omens, of course.
Material he salvaged from their original space craft.

3. How did Lion-O beat Cheetara in a race to win his Trial against her?
Spedos are more aerodynamic than a big rack in a leotard.
He tied a rope to her foot when she wasn't looking, causing her to fall on her face when they started to race.
The Sword of Omens saved the day of course.
Snarf literally lit a fire under his ass.
He didn't give up -- the distance they ran was too great for Cheetara to maintain her super-speed, so he won.

4. Why did Thundera go ka-boom?
Kit and Kat dropped sneezing pellets down a volcano.
The planet finally imploded from the shrill sound of Snarf's voice.
Mumm-Ra cast a spell upon the planet.
Why not?
Jaga tossed the Sword of Plundarr into the core of Thundera, which caused the devastating tremors years later.

5. In "The Shifter" episode, Vultureman tested the invention on whom?
He switched Monkian's brain with that of a simple lab rat, raising Monkian's IQ a full 50 points.
He tested the shifter by switching Luna and Snarf, but nobody believed the invention worked as the switch hardly made a difference.
Vultureman zapped Ratar-O and Slithe.
Vultureman zapped Jackalman and Monkian.
Vultureman zapped Slithe and Jackalman.

6. Slithe's former position in the mutant hierarchy was what?
Pimp of the booming Reptilian Prostitution industry.
Rocket Scientist.
Speech Therapist, but that didn't work out.
Maid.
Cook.

7. In the "Telepathy Beam" episode, the mutants were slowly driving Cheetara insane by feeding her sixth sense with images of what?
Dancing Grunes in pink g-strings. (Cheetara: "I see...I see...Jaga and Grune...crossdressing and loving it!")
Mumm-Ra in his PlayMummy centerfold spread.
A ship full of snarfs arriving right outside Cat's Lair.
The second season ThunderCats episodes. A tragic vision of the future indeed.
Images of terrible fates befalling their Third Earth allies as well as fellow ThunderCats.

8. How did Lion-O and Mandora first meet?
Lion-O got a lap dance from the fair maid during a stop at Third Earth's premier strip joint. Police work just doesn't pay like it used to.
On the Gray Prison Planet, when Lion-O was there to have a conjugal visit with Luna.
At a smarm-spewers intergalactic convention.
Aboard Captain Cracker's ship
After Lion-O accidentally released three prisoners she had in a holding tank.

9. In "The Last Day" episode, Mumm-Ra decides to punish Lion-O by doing what instead of destroying the ThunderCat Lord?
Locking him in a room where Monkian performs a ten hour belly dance.
Playing a loop of Lion-O's self-righteous smarm and forcing the lion to listen to it for all eternity.
Exiles Lion-O to the Astral Plane.
Mummifying the cat and imprisoning him within the Black Pyramid.
Encasing him a solid wall of hardened lava.

10. What is the one thing that will shock Mumm-Ra out of his everliving form and defeat him?
Tricking him into sitting on a whoopie cushion.
Spewing smarm at a rate of 100 words a minute.
A script that has him coming out on top for a change.
Saying his transformation chant to the ASOE backwards.
If he sees the evil of his own face reflected back at him.

Special thanks to Cheezey for letting me use this script ^.^
An answer list can be found here.