Predator

A team of elite commandos on a secret mission in a Central American jungle come to find themselves hunted by an extraterrestrial warrior.

Predator 2

A police chief in the war-torn streets of Los Angeles discovers that an extraterrestrial creature is hunting down residents - and that he is the next target.

Harry and the Hendersons

Returning from a hunting trip in the forest, the Henderson family's car hits an animal in the road. At first they fear it was a man, but when they examine the "body" they find it's a "bigfoot". They think it's dead so they decide to take it home (there could be some money in this). As you guessed, it isn't dead. Far from being the ferocious monster they fear "Harry" to be, he's a friendly giant.