Many traits associated with cats, including cleverness and contemptuousness (among others), tend also to be associated with Deadpan Snarkers — coming mainly from the association with cats as being aloof, unaffected, coming off as superior, and being associated with sense and grace. As such, it only makes sense that some works would have some cats be among their most sarcastic characters, whether as verbally-sarcastic talking cats or as Silent Snarkers. This could sometimes involve a cat as a Snarky Non-Human Sidekick.
Note that this trope isn't JUST about domestic cats, or even about cats that look like domestic cats either. It could apply to bigger cats as well.
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Both Luna and Artemis from Sailor Moon are masters of snark, especially when dealing with their respective less-than-devoted proteges.
Yoruichi from Bleach is quite sarcastic in her cat form... and her human form. Let's just call her a Deadpan Snarker in general.
Bella Dona: Now tell me, Kimba: What happened to that turtle?! If you don't tell me where that turtle is, I'm going to... I'm going to... Kimba: You're going to be punished by Tonga for letting him escape? (smiles)
Toyed with in the "Nekotalia" strips of Axis Powers Hetalia. There are all kinds of cats there, but the only one who really fits in is Tama a.k.a. Japaneko... and that's when he's not ranting about tuna.
Katten Jansson ('Katten' means 'The Cat') from the Swedish comic Bamse is a small black-and-white cat (and one of few non-anthro animals in the series) whose best friend is an equally-snarky mouse. They switch between snarking at each other and teaming up to snark at the world in general.
Simba: I'm gonna be king of Pride Rock! Scar: Oh goody. Simba: My dad just showed me the whole kingdom! And I'm gonna rule it all! Scar: Yes. Well, forgive me for not leaping for joy, bad back you know. Simba: Hey uncle Scar! When I'm king, what'll that make you? Scar: A monkey's uncle.
Mittens, from Bolt, is the character in the page image.
Bolt: I will Super-Bark you out of that tree! Mittens: Go nuts. Let's see how that works out for ya. (Bolt normal-barks) Mittens: Oh, the super-bark. Scary, scary.
Master Tigress from Kung Fu Panda. Maybe. She's quiet and reserved and bottles up her resentment but is only questionably a snarker.
The cat from The Rabbi's Cat is an atheist and mocks the Rabbi for believing in anachronistic unscientific and allegorical stories as literal truth and yet wants to convert to Judaism and have a Bar Mitzvah and possibly marry his daughter. Though he may want to convert to Judaism just to be legitimately accepted into the family. He also convinces the Rabbi's friend who takes the religion more seriously still that he is god, and has come as a test, that obviously he isn't a cat because cats can't talk. Then when the man is kneeling and weeping, he says 'no, I was just messing with you, I'm just a talking cat'.
Jon: "You know Garfield, I get the feeling you're a cat with a little cynic in you."
Garfield: "That's not true! I'm a cynic with a little cat around me."
Hobbes the imaginary and/or covertly-real (depending on how you interpret him) tiger from Calvin and Hobbes is arguably the most frequent Deadpan Snarker in the series.note Interestingly enough, author Bill Watterson claimed his pet cat partly inspired the portrayal of Hobbes, but he didn't specify whether or not this included the snarky personality.
Calvin: "Live for the moment" is my motto. You never know how long you've got! You could step into the road tomorrow, and wham, you get hit by a cement truck! Then you'd be sorry you put off your pleasures! That's why I say "live for the moment." What's your motto? Hobbes: "Look down the road."
Bucky from Get Fuzzy who, like Garfield, has a sidekick who exemplifies Dogs are Dumb.
Palmtop in Safe Havens has more or less settled into this role.
Humphrey the Downing Street Cat, as portrayed in the BBC Radio 4 series Political Animals, elaborately takes the piss out of his famous humanowners.
The title character of 1996 science fiction comedy series Seymour The Fractal Cat is pretty snarky, though he could have picked it up from any of the show's other major snarkers: his two previous owners and the computer that granted him sentience.
Moppet and Poppet in the opera Paul Bunyan are snarkers in a philosophical way, quoting Peer Gynt.
Sissel from Ghost Trick is certainly a snarker, though even he doesn't find out he's a cat until the very end of the game.
In RWBY, Blake is a cat-type faunus, and fittingly she's the team-member who's most often letting loose with a snarky remark (usually at Weiss).
Sad Cat Diary has cats writing entries into their diaries of things they consider tragic, with such entries stating how their food is a little less full, how the authorities wouldn't open the door to the garden, or how the authorities had removed the black pants.
Contrasted with Sad Dog Diary,which has entries that call the dogs' owners "Dearest Human" and lament that they don't know if "Dearest Human" cleans their genitals or knows how to poop. Also, while they trust their cat friends, the cats are assholes to the dogs.
Another non-talking example would be Opal from My Little Pony: Friendship Is Magic. The timing of her meows and facial expressions combined give off this trope's feel. This applies especially well to Sweet And Elite, where Rarity keeps talking to Opal about various things and Opal almost constantly responds in a Silent Snarker type way.
Don't forget the time that Sweetie Belle wonders aloud if she could be good with animals. Opal slices off part of her mane with Audible Sharpness and smirks as if to say "Lol, U mad?"