Alvin and the Chipmunks not only walk on their hind legs like humans do, they're the size of humans as well. Averted a bit as of the live action films, shrinking them down to actual size and often running on all fours like real chipmunks do.
All citizens of Elmore in The Amazing World of Gumball are Funny Animals/Food/Objects/Whatevers. Species is reflected in their behavior to various degrees, but all of them live in houses, have jobs, and send their children to school like humans.
The cast of The Angry Beavers. Even the humans in the show are treated as such.
The protagonists of Breadwinners are a pair of anthropomorphic ducks, with the same applying to every other character of bird species.
Many characters in Bojack Horseman including the eponymous equine. Plenty of humans too though.
Despite taking place "on the other side of the universe!", all the aliens in Bounty Hamster are talking Earth animals (unless they're a parody of a scifi alien).
Chip 'n Dale: Rescue Rangers straddles the line between this and Talking Animal, with a healthy dose of Furry Confusion for good measure. The main cast usually falls squarely into Funny Animal territory, though at times might slip into Talking Animal (Chip and Dale more than the others, as they will sometimes run on all fours like actual chipmunks. Monterey and Gadget almost never behave like actual mice). Most other rodents in the series are also portrayed fairly consistently as Funny Animal. Cats generally tread both sides, while dogs and almost everything else tend to be Talking Animal exclusively. Furry Confusion occurs with pretty much everything, particularly fish and incidental or background characters.
YUBI: Well, almost human sacrifice, give or take a feather.
Courage the Cowardly Dog. While everyone acknowledges that Courage is a dog and usually treat him as such, other Funny Animal characters get by with no reference at all to their species. Courage's own characterization as a dog slips sometimes. Often the alien/evil entity/villain of the day (who is sometimes also a talking animal) will treat Courage on the same level as the humans. Often by trying to kill them.
The cast of Elinor Wonders Why are anthropomorphic mammals of a variety of species, with animals of other types like birds and insects remaining non-anthropomorphic.
Brian Griffin of Family Guy usually falls squarely into this category, albeit with occasional Talking Animal moments (particularly in the first RUN of the series, where they were more frequent).
British children's series Go Jetters features an anthropomorphic disco-grooving unicorn named Ubercorn as the mentor and leader of the otherwise all-human Go Jetters team.
Yogi Bear, Top Cat, Snagglepuss, Wally Gator, and Magilla Gorilla are straddle the line between Funny Animal and Civilized Animal. They wear clothes and can communicate with humans in English, but are otherwise function and are treated as members of their respective species. Later Crossover shows put everyone firmly in the Funny Animal category.
Harvey Beaks: With the exceptions of Fee and Foo, most of the cast is some sort of anthropomorphic animal.
I Am Not an Animal. The animals were genetically engineered to talk and were raised with celebrity magazines photo-shopped so half the people had animal heads. They escaped and didn't realize that animals aren't supposed to talk.
While 90% of the Jimmy Two-Shoes cast are monsters and demons, this trope is surprisingly common. The two most prominent being the Weavils and the Schwartzentiger. We've also seen pandas, a goat, a rhino, a crab, and an ape.
On Joe and Jack, Jack is a cat, but walks and behaves just like a boy and in practical terms seems more like a brother of Joe of about the same age, or maybe a little younger. His character model even looks a lot like Joe, except different coloring, whiskers, cat ears and a tail. Enhancing the resemblance is that Joe wears a full-body costume of an animal all the time.
Let's Go Luna!: Everyone is a funny animal, a celestial body, or a Cartoon Creature. Specifically, Leo, Carmen, and Andy are a wombat, a butterfly, and a frog, respectively.
Porky Pig is consistently show living and working among humans, with A Corny Concerto even giving Elmer's usual role as the one hunting Bugs. Porky is probably like this because he was created earlier than most other Looney Tunes (who tend to be Civilized Animals), in an era when Disney had made Funny Animals universal.
Daffy Duckvaries a lot between a Civilized Animal living in the woods or a pond and a Funny Animal living among humans, often as Porky's neighbor, partner, or similar.
The episode "White Hare" is mainly comprised by a dream sequence starring anthropomorphic rabbit versions of the Loud siblings, plus a couple of unrelated rabbits and a beaver (himself being Clyde's version). Based in-universe from a bunch of regular rabbits Lincoln just saw in a similar scenario, they were the cast that series creator Chris Savino had initially conceived before a Nickelodeon executive advised him to use human characters instead.
Lana's character for the siblings' made-up story in "A Dark and Story Night" is an anthropomorphic frog named Ribbon.
One-off antagonist Zeb (a zebra) from My Little Pony 'n Friends. Rather jarring given that most of the cast are also equines, but are not anthropomorphized to the extent Zeb is.
My Little Pony Tales: The characters may look like My Little Pony ponies, but their behaviors and concerns are human. You know you're dealing with a Slice of Life show about human-like characters when the kids stand around discussing their problems with their parents as they wash the dinner dishes.
Popeye encountered one of these in "The Hungry Goat". The short overall felt like more of a Tex Avery cartoon than a Popeye cartoon.
Funny animals are featured prominently in "Popeye The Sailor" and "I Eats My Spinach". Fleischer Studios was known to use these in the Betty Boop cartoons, where the Popeye series branched out of.
This is both played this straight and averted with the main characters. Mordecai the bluejay might as well be a human, seeing as he doesn't eat like a bird, fly, or do anything else bird-like. Rigby the raccoon, on the other hand, is shown to dig through trash and run on all fours, but otherwise acts almost as human-like. Lampshaded in this conversation:
Mordecai: Dude, don't dig in the trash. It's not natural.
Rigby: You're not natural!
Of note is that in the Regular Show universe, everybody who can talk is considered human, and nobody really seems to question it.
Many of the characters of Rocko's Modern Life. A few non-animal (nor human) characters show up from time to time.
Hamton J. Pig from Tiny Toon Adventures, being based on Porky, is the only animal member of the cast who lives in a completely human house, even though it's next to the mud piles of other pigs. Otherwise, the cast tend more toward Funny Animals than the original Looney Tunes, as they attend school (albeit for an education on being a cartoon character), frequently use urban facilities like stores, and are shown socializing with each other in a non-hostile context.
Although some of them dip near-ish the Talking Animal end of the spectrum sometimes, the cast of T.U.F.F. Puppy is essentially this,but they retain some animal like mannerisms. For instance, Dudley, a dog, has a superhuman sense of smell and an unfortunate habit of chewing his own butt, and his partner Kitty loses all self-control and star whenever she sees a mouse or a ball of string.
The main characters of We Bare Bears, They look like bears, they walk on four legs sometimes, and they live in a cave, but they otherwise act human. Most actual humans in the show don't see anything odd about this. Notable that they are, in fact, recognized as bears since they befriended Chloe after she studies them for her college project on bears. They've also been known to act like wild bears under times of stress, such as when Grizz decides they need to become more primal.
On Wild Animal Baby Explorers, the characters are basically this, given their speech, use of technology and their general concerns of exploring and learning. They're Wild Animal Baby Explorers because it's wild animals that they're exploring, not they themselves that are wild animals.
The titular trio of main characters from Yin Yang Yo! are a pair of colorful anthropomorphic rabbits alongside a panda. In addition to some more animals, the rest of the cast is comprised by anthropomorphized objects or characters of undefined species.