One Ozy And Millie strip features a character lampooning vegetarianism, but characters range from foxes to sheep to cows.
In Dan And Mabs Furry Adventures, all critters explicitly fall into three groups, non-sapient animals, sapient but generally nonmagical Beings and intelligent and magical Creatures, with the ones higher in the hierarchy eating the ones lower. Causes clashes every now and then — Creatures eat Beings from time to time, conversely Being adventurers dispose of dangerous Creatures every so often —, but at least in the present time Creatures and Beings manage to coexist more or less peacefully overall. There's the cow character whose favorite food is hamburgers...
In Lorenda's case it kind of runs in the family. Her mother Kria Soulstealer is a full-fledged demon who's proud of her position as apex predator and in the backstory ate her own husband (admittedly for cheating on her). Oh, and her uncle is also the villain Dark Pegasus. In a way, Lorenda is the "normal" one in the family.
Jack plays it extremely straight. All the furries are considered herbivores. Eating meat is explicitly equaled to cannibalism. Dwelling on sick meat-related fantazies and later giving in to them earns two characters a demonic rank of Sin of Gluttony.
"Synth-meat" is mentioned briefly as being the only legal alternative.
The above-mentioned Kevin & Kell, for those who aren't familiar with it, is about a "mixed marriage" between a rabbit and a wolf. As such it addresses this issue with surprising frequency and from several different angles. Kell, the wolf, actually works for HerdThinners Inc., a predatory corporation that hunts other animals and sells the meat. Young carnivores are specifically taught not to talk to their prey, as it may result in befriending them. However, you need to eat the animal that you kill, otherwise it's murder.
There's also a rule that states that predators are unable to track down and eat specific prey, meaning they can't kill and eat anyone they know.
In a post about a Gender Swap comic for April Fool's Day of 2007, Holbrook mentions that there would be a considerablepower imbalance if "Kelly" was the predator and "Kevina" was the prey. He admits that George and Danielle are a couple with a female prey species and a male predator, but notes that they're secondary characters (it probably helps that Danielle was originally a human, so she eats meat and is not instinctively scared of George).
It's probably easier to go to restaurants than deal with Helix's apparently Disney-fied view of how nature works.
In P.S.I., the only non-sapient land animals are insects. This has obvious implications on the food supply in the comic's universe.
The Suburban Jungle follows the 'fact of life' approach. Except in specific situations, such as the workplace, or a specifically 'No Predation Allowed' bar, it's A-OK to eat each other. Although you might expect a girl to get cross if it turns out you accidentally ate her date.
The WebcomicShivae has this as an important, if not main issue: most characters are non-anthropomorphic animals, the protagonists are predators, and all carnivores seen so far are sapient (and mostly sympathetic). Herbivores seem to be split between sapient and non-sapient within each species, and sapient herbivores show little respect or concern for non-sapients, even those part of their own herd, and allow predators to hunt the latter. It is considered taboo to kill another sapient animal, but since they can all communicate with each other, it's easily avoided. Then the very anthropomorphic colonists show up, and for some reason can't communicate with the non-anthropomorphic cast members, who they consider to be all dumb beasts...oh, and their society is advanced enough to have guns.
The Cyantian Chronicles: (Same artist/author as Shivae) Due to genetic engineering done by a long dead alien race, ALL sapient anthropomorphic Cyantians are omnivores. Only non-sapient prey species are consumed and an anthro wolf eating an anthro rabbit is still cannibalism. It is notable that a rabbit that eats mostly meat will have digestive troubles and hormonal imbalances. The same applies for carnivores that eat too much veggies.
One character, Rama inverts it, threatening to eat a sentient rabbit if she doesn't meet his expectations.
this is essentially the same set up for the Antreyki in Triquetra Cats.
A variation occurs in in thisSchlock Mercenary strip, which takes place after a very near tragedy occurred between two species who didn't recognize each others' sentience. But, hey, "Food that talks is not food". Schlock looks for loop-holes. Sometimes, he doesn't even bother with the pretense.
If it's an enemy it's not food.
Tropers and Schlockites beware: ordinary animals (and for some time, a computer on Luna) are sentient, but humans, aliens, most AIs, and special animals are sapient.
On a previous arc, the mercs dealt with a species that was illegally selling their own (non-sapient) young as delicacies. In their defense, they are quite delicious.
In general, though, Schlock has no problem with eating his enemies alive (and why should he, if he doesn't have a problem shooting them), and him doing so frequently played for laughs. He does get a bit weirded out when he's forced to eat his allies from the neck down to keep going during Schlocktoberfest 2001, but he still goes through with it.
He also had only 5 cryokits for 29 people, so he had to trim them down a bit.
Suicide for Hire features a Lampshade Hanging when Arcturus and Hunter, a mouse and a fox respectively, discuss milk: "You know of any wild animals that continue drinking milk not only after infancy, but from a source not even of its own species?" A caption in the border between panels reads: "To anal-retentive assholes like myself: You know what I mean. STFU."
In Faux Pas all animals are non-anthropomorphic, but as they have grown up in a studio animal training center, they have learned to see each other as friends instead of prey; besides, there's plenty of chow for the foxes and cats (the origin of which they refuse to think about). However, some confusion ensues when the wild vixen Cindy joins the gang, and when her cousin Dusk appeared to have eaten one of the (named) rabbits (relax it was an unnamed mouse).
This is a plot point in Digger, who tells the Shadow Child that it is wrong to eat anything that can talk: Hyenas, meanwhile, do not share this belief and this ends in much confusion.
One of the filler strips of S.S.D.D shows why this would not happen if there were sentient versions of animals as well as non-anthropomorphic ones.
In TallyHo the main characters are a fox and a hound. The fox is a carnivore but is only ever shown eating human food he has obtained somehow. He even points out to a frightened rabbit that thinks she's about to be eaten that he prefers his meat "batter-fried in 30 herbs and spices and served in a paper bucket".
In Gene Catlow, Word Of God says that all meat comes from donors — furries who donate their mortal remains to be processed as food, much like Real Life organ donors. This is explicitly mentioned in the fanfic The Basalt City Chronicles, where Eugene Catlow says he wishes he could thank the donor of the meat he is eating for keeping himself in good shape.
21st Century Fox originally had the carnivores eat meat (a fox, for instance, once took down a lion and made him into "lion jerky"), but when a law was passed that made it illegal for people to eat other people, they had to rely on S.P.A.M. (Scientifically Produced Animal Matter). When said law was repealed, people were quite pleased with the good-tasting S.P.A.M.
In Horndog, Tommy, a rat, and Leonard, a cat, engage in a conversation about Tommy's fear of being eaten. Also, a recent storyline involves Charlene becoming romantically involved with a Jewish lesbian mouse, which gives new meaning to the phrase "eating pussy".
In Sluggy Freelance Trog tries very hard to stop Aylee (an alien from like you know alien) from eating humans. The cast at one point have an intervention for her in which she eats John a man who went through cannibals anonymous. A strip later Torg enrolls her in the program. She eventually stops eating humans just in time for riff and Torg to get trapped in the 1999 annual cannibal convention. Torg realizes trying to change Aylee's nature is pointless and unleashes Aylee on the cannibals this fails but they all survive due to a damn heroes moment. ironically a few arcs later Aylee transforms into a dragon that eats potatoes nullifying the whole process. As far as we know she hasn't eaten humans since.
Daddy Long Legs takes the last approach, with predation being unpleasant but still a part of life. Things can still get really awkward from time to time, though- mostly in that Harvestman's favorite food are aphids, same insect as Crane's nanny.
Frequently brought up in Subnormality as, despite being higher in the food chain than people, the Sphynx frequently holds discussions with people and integrates into modern society as best she can. Especially notable in that she later becomes good friends with the Pink Haired Girl (and goes as far as saving her life in a more recent comic), yet continues to eat humans regularly.
In Wereworld, it's taboo for weres to eat weres, but non-sentient animals are fair game, even related species (like Were-cats hunting down normal big cats). In the latter case, it's considered weird, but not strictly taboo (A footnote explains that it would be like a human snacking on primate meat).