An orange cat belonging to the main characters appears throughout the film. It is never threatened and doesn't come to any harm.
Gone With The Wind
A horse is overworked during a long journey home and whipped until it finally falls down dead from exhaustion.
A dog gets shot but the bullet just grazes it.
The main character's dog, Barney, is threatened by a mean woman and tied up with Christmas lights by the gremlins but is not harmed and does not die. Gizmo, the friendly gremlin (mogwai), survives while a large number of the evil gremlins die. A few cats appear in one scene but nothing happens to them.
The grizzly decapitates a horse. A pet rabbit disappears during a grizzly attack; we don't see the bear with the rabbit so it's possible that the bunny escaped. The grizzly meets a fiery end.
Guardians of the Galaxy
As part of a game, two small lizards are caught and eaten by larger lizards. No harm comes to Rocket, the anthropomorphic raccoon. A dog appears briefly in a few scenes; at one point it appears as though it might've died in an explosion but it is seen alive a few moments later.
A diabetic police horse dies after being fed junk food and a pet Rottweiler is killed by a drug lord.
A number of dogs appear (watch dogs, tracking dogs, wolves) but none die. A few dead game animals are seen being eaten, including a rabbit and a bird. A cage full of birds meant for dinner (Ortolan Buntings) is seen at a restaurant but we don't see any of them being killed.
The dog has back cancer/trouble walking. The main character raises money for the dog's surgery but the dog dies.