End of Watch
Several dogs startle some police officers from behind a fence but none are harmed.
Enemy of the State
Bob the golden retriever and Babe the cat both survive the movie unharmed.
A talking beaver is repeatedly kicked but survives. Some snakes are punched at, but they survive. An already dead roadkill is served for dinner (could be a cat). Two verbal references to bestiality, when half-human, half-animal characters appear. One of them gets killed and the other one is repeatedly shot but survives, but they look like humans with a few animal traits, so you can't really count that as an animal death.
A large number of dogs are shot and killed off-screen (we don't see them die but their cries are heard). One puppy is saved. It comes close to being caught by the bad guys in a later scene but is saved again. The puppy is later seen playing with Preston's daughter.
Ernest Goes to Jail
A dog is left in a trash can and is later rescued, apparently no worse for wear.
Escape from Alcatraz
One of the prisoners has a pet mouse. We do not see the mouse harmed during the film and, while its ultimate fate is unclear, the film leaves us with the hope that it survived. Other animals: nothing happens to the warden's pet bird and goldfish; a rat startles a man and he knocks it away.
A dog jumps off the Eiffel Tower while chasing a beret but lands safely in a reflecting pool.
A dog named Grandpa is killed with a hammer. We don't see the attack but we do see the dog afterward. Some dead cats are seen.
Fantastic Mr. Fox
The mammals in the movie are anthropomorphic, the other ones aren't. Mr. Fox kills several chicken to eat them. The results are sometimes shown. An anthropomorphic rat character dies after a fight. Despite him being a villain, the scene is emotional but not brutal. Mr. Fox has his tail shot off. He doesn't seem to be in pain, but is rather angry and hurt in his pride. Later, the tail is ripped to pieces by a dog, Mr. Fox gets it back, poorly glued it together and attached it to his backside again. During much of the movie, the entire society of anthropomorphic animals is in peril, but all of them survive.
We also get to learn that the animals, despite being anthropomorphic, only live as long as their real life counterparts.
Far from the Madding Crowd
A herd of sheep are rounded up by a sheep dog and he chases them off a cliff. They all die. The farmer is so upset and shoots the sheep dog.
Linford the dog is seen in a few scenes and comes to no harm.
Uh...well, a demon snake is pulled out of a woman's belly and then swallowed whole by a man. Does it die? Does it turn into the monster that later appears? Since it was a demon, was it even alive to begin with? No clue. The only reason it's worth mentioning is because the demon snake is played by a real-life, six-foot-plus albino Burmese python.
A dog is killed. The death takes place off screen but afterward the dog's head is shoved through a doggy door to frighten the family.
Animated. Cats are killed, experimented on and electrocuted. A dream sequence features disemboweled cat corpses used as puppets.