A small dog is not being controlled with a leash as part of a plot point. The pup is standing in the middle of the highway and is run over by a speeding car. The 3 characters that witnessed Tiger's death do not have much remorse.
In the opening sequence, a puppy is shown suspended in a Christmas Stocking.
A boy who is magically transformed in to an immortal cat is run over by a bus but survives. Later the cat appears to die but it is actually the boy's spirit being released in to the afterlife.
An invisible dog is killed by being smashed against the walls of a kennel. The scene is filmed in heat vision so, despite being invisible, the dog's death is seen.
A kitten is kidnapped by thugs but rescued with no harm done.
Homeward Bound: The Incredible Journey
Two dogs and a cat end up in perilous situations while trying to get home. There are moments when it appears one or another of the animals has died, but in the end they all survive.
Hondo's dog Sam dies after being speared.
Nana, a sheepdog, shows up in a few scenes and is not harmed.
A cat belonging to one of the titular horrible bosses occasionally surprises the main characters but is not harmed during the film.
Saxon the police dog comes to no harm; neither does the escaped swan. A dog skull is seen very briefly but it doesn't belong to any dog we saw alive during the film.
A dog appears to have eaten something it shouldn't and its owner shakes it to try to get the object out. It turns out okay in the end and the dog is unharmed.
The dog, Buddy, is not harmed.
Hotel for Dogs
Though at one point all the dogs from the hotel are scheduled to be euthanized, they are all rescued and none of them die.
House of 1000 Corpses
A dog is seen sitting in a driveway. Later another dog is found in a shed and a cop points his gun at it but does not shoot. Neither dog is harmed.
While being chased by mobsters, a man releases his pet hamster in an airport and yells Rat! The diversion allows the man to escape and the hamster is rescued by a little girl.
Several dogs appear in the film but none are harmed or die.
Humanoids from the Deep
A dog has a bloody fight with a monster and later the dog's partial corpse is seen. Several other dead dogs are seen. A cat appears briefly but does not die.
Hunt for the Wilderpeople
A dog is injured while protecting his owner from a wild boar attack. The dog is then shot by his owner as the injuries are too severe.