On the Topic of primates there is Koko. She is an ape that has a pet cat. This is essentially a real life Mickey Pluto relationship.
Better yet, there are baboons who steal the puppies of feral dogs and raise them as pets, with no humans involved! Really. The video is less cute than you may expect, as the baboons are not great dog owners; they pull the puppies around by their tails as they yelp in pain.
Many advertising mascots take this right into Nightmare Fuel territory by shilling the charred flesh of their compatriots. See Let's Meet the Meat for more information.
The M&M mascots take this to another level since the mascots themselves talk about getting eaten.
This goes especially for Charlie of Star Kist Tuna. For years, he had been trying to essentially, get killed, chopped up, packed in a can, and eaten.
Chick-Fil-A actually averts this by doing a series of ads with sentient cows shilling the restaurant... because they want people to eat more chicken and less beef.
Then there's the infamous "Miss Piggy advertising a bacon breakfast at Denny's". Watch it here.
Some humans treat other humans as pets and even eat other humans. Maybe Goofy is just the sociopath of the Disney world?
This is one of the core debates that splits the Furry Fandom; as the definition for "anthropomorphic" in the community is fairly strictly textbook, arguments are over how far to one end or the other of the human/animal spectrum one has to slide before the character stops being considered anthropomorphic. Currently, the extremes are loosely set at Talking Animals at the extreme animal side, and just short of Cat Girl for the extreme human side (for some reason, pure Cat Girls are not considered anthropomorphic for most. Must be the human face that ruins it...).
There was one furry story involving the C-snakes being hunted down by The Man. The protagonist is the only host capable of thinking straight, and after comes up with the bright idea to infect one of his family's non-anthropomorphic dogs and send it off to divert the hunt. If the ridiculous idea of a furry buggering a dog wasn't ridiculous enough, the dog is later caught by dogcatchers and put in a pound, where it infects the other dogs, the anthro wolf dogcatcher, and they all go one to infest the city at large. It's exactly as ridiculous as it sounds.
There is a bag of Disney-branded chicken nuggets that show farmer versions of Mickey and friends on a farm. Though the image is cheery, look closer; Donald is standing next to a non-anthro chicken. Remember: this is a bag of chicken nuggets.
The Waggin' Train dog food packages show an anthropomorphic dog standing next to a non-anthropomorphic dog.