Dream Master - by Mumm-Ra.
Lady Ocelli, you’re losing your tocuh. The 2 last ones have been really easy 
Okay then here’s a trickier one. :
“Ding dong dell, kitten’s in the well.”
I definitely remember Mumm-Ra saying it. I believe it is Locket of Lies when he traps Lion-O, Panthro, Tygra, and Cheetara in a pit that starts closing to squish them…
That’s right and here’s another tricky one.
Character #1 “[giving a toast] Here’s to Third Earth, and to peace at last.”
Character #2 “Peace, huh? That’s gonna take some getting used to. I’m not sure I believe things will be that easy…”
Character #3 “I dunno how I’m gonna handle being an unemployed warrior.”
I think it’s from the 1st part of “Mumm-Ra Lives”, when the TCs are finally celebrating what they thought was Mumm-Ra’s death.
BUt can’t remember who exactly said those lines. I think it was Lion-O, Panthro and Snarf.
I think Tygra_Rules has the right characters, but I am thinking it is ThunderCats Ho! Part 5, at the end, just before Tygra refers to Ben Gali as “brother”.
Tygra Rules you have it right my friend!!
Yes and you even got the characters in the right order.
“Well, I’ll say one thing about your adventure: you all look like you’re in terrific shape.”
I was doubting between “Thundercats Ho!” - part 5, and “Mumm-Ra” Lives - part 1, but I remembered the latter starts with a celebrating / toast scene 
Wasn’t that hard. By that moment, Lion-O, Panthro and Snarf (and Lynx-O) got almost every line in the show; and the two last ones sounded like something Panthro and Snarf would say, you know, they were the “humosrists” of the clan.
That’s from “The Wild Workout”… Snarf saying it?
Right again my friend and here’s another one.
“Running away never solves a problem. In fact, it makes it worse.”
This episode is one of my favorite, it emphasizes Wilykat’s ‘‘dark’’ persona, he sounds so sure to leave the Thundercats behind not just because they treat the kittens like kids but also becuase they make them feel useless.
memorable quotes:‘‘we might as well stop being Thundercats’’ and ‘‘they hardly know we exist’’, hard to believe these came from the twins!!!
Now, the strange creature Cudi on episode ‘‘Runaways’’ says this ethical quote towards the end:“Running away never solves a problem. In fact, it makes it worse.”
Yes that was said by Kudai and here’s the next one.
Character #1 “Panthro and Cheetara will never return in time. I’m going after Lion-O.”
Character #2 “Not while you’re within my reach, little Snarf.”
This is a dialogue between Snarf (character 1) and Tygra (character 2) in “All That Glitters”, when they were waiting for Panthro and Cheetara to come back with Lion-O from the cave were the Flame lives.
I love that episode because Tygra has kind of a great role in it (he even broke the sword of omens… ok, that was due to a curse or something, but it was him), and then he was appointed by Lion-O as the next lord of the TCs if he didn’t come back too bad he did lol)
Okay here’s one I doubt will be easy.
Character #1 “We can use the Whisker.”
Character #2 “Right now, though, what I could really use is a drink of water.”
Well, let me se…the first episode where the probevehicle, the Whisker got introduced was in episode 113- Return to Thundera. Part 3.The kittens and Panthro surprised Lion-o with their new trackig construction!!
So it had to be after episode 113…
It was in the episode 129, ‘‘Well of Doubt’’. Whle Panthro, LIon-o and Snarfer were in the New Tower testing the antennas.
Snarfer:“We can use the Whisker.”
Lion-O:“Right now, though, what I could really use is a drink of water.”
In the same episode Lion-o crashed the Whisker due to the effects of the water,which caused a person to become doubtful of his own abiliteis
Ah so you saw the hidden clue in my post eh?
" You recognize Quickpick here? I’m told he’s an old friend, a reformed man, and not popular among the other honest thieves and murderers."
Too easy, Capt. Cracker in Mandora and the Pirates. Capt. Cracker uses Quickpick to force Mandora to exit the Jolly Roger so that they can leave the prison.
I’ve got one, I may be off on the exact wording. I’ll double check it when I get home tonight if no one has gotten it by then. But I think it is right:
Character #1: You’re going to visit.
Character #2: No, <Character #1>, I’m going to stay. You don’t need me anymore.
panthro and snarf in the feliner 2 parter
Either very, very close, or my memory is off. But you definitely have the right episode. I thought it was Lion-O and Snarf, because the next line was Snarf saying that “you’re all grown up now, you don’t need a nursemaid anymore” or something like that.
You get the honor of the next quote.