Chandler's dog Roger appears with one of his daughters, who throws a toy into the water. Being the good boy that he is, Roger dutifully jumps into the water and retrieves the toy.
Nosferatu the Vampyre
Thousands of rats appear in the movie, none of them die (a few are kicked around when a coffin full of rats is opened, but they don't seem to be in pain). Apart from that, there are several horses, bats, pigs, a sheep and two kittens seen. We see none of the animals die. A man is said to feed on insects but we don't see it.
Note that even though nothing happens to the animals on-screen, animal cruelty accured during its filming, most notably having the rats' fur dyed grey in boiling water, causing many of them to die.
Now You See Me
A rabbit is seen briefly during a magic trick but is not harmed. No other animals appear in the film.
A dog is almost shot by a robotic drone but it runs away and lives.
In a flashback, a dog made ill by a haunted mirror dies off screen after being taken to the vet. In the present, another dog avoids the same fate by running away from the mirror to safety.
Two dogs (Rottweilers) are shot and killed off screen after attacking a woman. A number of wild birds in cages appear in several scenes. In one fantasy sequence the birds appear frozen in ice but are seen alive again afterward. In a later scene the building containing the birds explodes, implying that they probably died.
Of Mice and Men
A pet mouse and puppy are both crushed to death. An old dog is shot and killed.
A man brings his pet when he commits suicide.
Yes the dog dies. He's shot by his owner after contracting rabies.
A poodle dies when its suicidal owner jumps off a roof with it. The dog and owner are seen landing on a car after the jump. In another scene, a man eats a live octopus.
While imprisoned, the main character befriends a mouse and promises to protect her and her newly-born babies. Unfortunately in the next scene he's slipped a food tray which contains the mouse and her babies cooked like shrimp on a plate.
Oliver & Company
Animated. After being thrown from a car, there is a moment when Oliver the cat seems dead but he survives. Two evil Doberman Pinschers are also thrown from a car onto electrified subway tracks; their fate is not clear but they were probably not as lucky as Oliver.
Once Upon a Time in China II
A Dalmatian is burned alive because it is foreign. We see the dog being put on a pile of things to be burned and we see the fire burning but we do not actually see the dog burning.
A dog is shot and killed. Another is swept away in a flood but is rescued.
Order of Chaos
There's a dog, cat, and fish but nothing happens to any of them.
Our Idiot Brother
Though the dog goes missing at one point in the film, he is found unharmed.
Out of Sight
A goldfish in a bag is purposely squished to death.
Several rooks (crow-like birds) are cut open and their entrails used for magical purposes.
After mauling several sheep, a sheepdog is shot and killed off screen.
Oz the Great and Powerful
There are a number of flying monkeys and some other fantasy animals in the film and none of them die. The worst that happens is a number of flying baboons fall asleep, thanks to some enchanted poppies.
The heroine kills her captor's dog while trying to escape.
Max the bulldog survives the kaiju invasion unharmed.
Pain & Gain
Three dogs appear, none die. The main character's greyhound, Tasty Ruben, runs away but is later found. A small dog named Chopin ends up carrying around somebody's finger but is not harmed. A third dog is seen for a few seconds, swimming in a pool.
A guy owes bad guys some money and they kill his dog when he doesn't pay up.