There are so many sub genres in the horror genre that it can be tough to decide what to watch. Consider a marathon of animal-attack movies. You name the critter, and likely a movie was made. Here's some to consider -
Descriptions from IMDB
Cujo (1983) Cujo, a friendly St. Bernard, contracts rabies and conducts a reign of terror on a small American town.
The Day of the Animals (1977) A battle for survival ensues after a group of hikers encounters a chemically imbalanced forest.
Devil Dog: The Hound of Hell (1978) A dog that is a minion of Satan terrorizes a suburban family.
Frogs (1972) A group of hapless victims celebrate a birthday on an island estate crawling with killer amphibians, birds, insects, and reptiles.
Jaws (1975) A local sheriff, a marine biologist and an old seafarer team up to hunt down a great white shark wrecking havoc in a beach resort.
Congo (1995) When an expedition to the African Congo ends in disaster, a new team is assembled to find out what went wrong.
The Edge (1997) An intellectual billionaire and two lesser men struggle to band together and survive after getting stranded in the Alaskan wilderness with a blood-thirsty Kodiak Bear hunting them down.
The Swarm (1978) A huge swarm of deadly African bees spreads terror over American cities by killing thousands of people.
Razorback A vicious wild boar terrorizes the Australian outback. The first victim is a small child who is killed. The child's granddad is brought to trial for killing the child but acquitted. The next victim is an American TV-journalist. Her husband Carl gets there and starts to search for the truth. The local inhabitants won't really help him, but he is joined by a hunter and a female farmer to find the beast.