A whole animal universe is man-made, with shops, houses, technology etc. except that animals take the place of people. In some works, all kinds of animals take the place of people; all animals are human surrogates and considered equals to each other. In other works, some animals or types of animals take the place of people while others are considered normal animals. Sometimes, only one species of animal is a human surrogate. There are no humans in the setting, except a Token Human or two.
In some works where some animals or types of animals take the place of people and others are considered normal animals, there are both normal forms and human surrogate forms of one or more animal species.
Can involve Partially Civilized Animals, Civilized Animals, Funny Animals, and/or Petting Zoo People.
May result in Furry Confusion.
Grandville, with a minor (servant) population of humans
Usagi Yojimbo, which takes place in Japan where every single animal except horses and lizards are anthropomorphosized. Lord Hikiji on the other hand...
Film
Disney's Robin Hood plays it straight with most of the characters except Sir Hiss. Then again, when you have a character with no limbs, you can't ignore the fact that he's a snake. It also managed to avoid having regular animals coexist with the anthropomorphic animals, particularly at the end of the film, where they actually don't even show who or what was pulling the carriage during the finale!
Sir Hiss is still differentiated from a non-anthro animal. Anthropomorphic snakes are frequently depicted as slithering on their bottom half, while their head and some of their neck is constantly elevated. It's the closest to walking on two legs you can really pull off with a snake, so almost any anthropomorphized snake will move this way, while real snakes usually keep their head low to the ground while moving and put it up only briefly to analyze the surroundings or make a threat gesture.
Partially Civilized Animal example: The Legend Of The Guardians The Owls Of Ga Hoole may be a example of this trope because there's talk that suggests that humans used to exist, but are gone. In the book and movie, owls do metalwork in forges, drink tea, and write and read books, but they basically look like normal owls and don't even have Feather Fingers.
The film somewhat averts this as other than some comic relief, it is a very dramatic film.
Rare non-animal example: Cars, where all of the inhabitants are talking vehicles.
Neopets has recently been changed into one of these, with the title pets serving as the stand-in for humans, so the Petpets serve as stand-ins for animals.
Western Animation
Petting Zoo Person example: Arthur. In fact, it is lampshaded when Arthur and his friends are watching a self-parody of the cartoon.
Justified in the Saturday Night Live "Bear City" segments. A meteor crashed to earth, and the inhabitants of the town went underground in order to escape its effect. One of the unrealized effects was to make bears start acting like people (but they couldn't talk), taking the places of people in that society.
The main setting of Spliced, Keep Away Island, is this, but humans are presumed to exist in the rest of the world, as most of the characters were created by one.
Rare plant example: Veggie Tales, where all of the characters are either talking fruit or vegetables.
Played for Drama with Petting Zoo People in Thundercats 2011 In the words of the Cats' King Claudus, Third Earth is "...a world of warring animals" and his empire of Thundera is both the great civilizer and the only species strong enough to keep the peace, through Animal Jingoism crossed with Fantastic Racism. (His rivals the Lizards have different ideas.) Apart from a small enclave of LilliputianPlant People, Third Earth is presented matter-of-factly as being this, until protagonist Lion-O's arrival in the series' first real Adventure Town introduces us to droves and droves of, not humans but aliens...oh my!