In a short scene in Shrek the Third, Puss in Boots tries to flirt with normal, meowing female cats.
In Howard the Duck, the eponymous character flips out when he is served a breakfast that includes fried eggs. Howard's behavior is justified because he was accidentally abducted from a world populated with anthropomorphic ducks like himself, so the eggs "always remind him of his birthday", despite being chicken eggs.
Subverted in Surf's Up. The resident chicken is offended whenever someone comments that a delicacy "tastes like chicken".
In Rock-A-Doodle (also by Don Bluth), Chanticleer the rooster and his friends all live on a farm. But when all the other animals go to the city to find Chanticleer so they can get him back and stop the evil owl, instead of humans, all the inhabitants of said city are also animals! And considering the fact that Edmund (the boy who was apparantly turned into a furry cat by the evil owl) and his parents are the supposed owners of Chanticleer's farm. On the surface this is easily explained by All Just a Dream, at least until the next scene where the live-action kid appears on the cartoon farm just to confuse the issue even more.
In An American Tail we have Digit the Cockroach, a Four-Legged Insect that wears clothes and talks, in the same movie as a creepy group of photo-realistic cockroaches that sneak up on Fievel while he's exploring a storm drain.
In Once Upon a Forest, when the three main characters get stuck in a storm drain we see a group of scary realistic rats scurry by before the tunnel gets flooded with water. One of the main characters is a cartoony wood mouse.
The entire cast of Kung Fu Panda are all anthropomorphic animals, but for some reason, the dragon statues are not anthropomorphosized.
Possibly justified, as the art style and architecture are based on Eastern styles, as fitting the nature of the film. The dragon statues shown are part of this, and one would assume that that world has the same or similar dragon legends as China or other Eastern cultures.
In Shark Tale, smaller fish serve as "humans", while larger fish serve as "transportation."
In Epic some of the animals (like Mub and Bufo) and plants (like the dandilions) can talk and interact like humans but others (like the mouse and birds) can only interact as animals of comparable size to humans would.
The American cut of Rock and Rule opens by saying that all the inhabitants of the future-North America are mutated cats, dogs, and rats, but later features a normal cat hissing and clawing at the camera when startled.