The whole story starts here as Gordon Shumway, a Melmacian who escaped his planet before it was destroyed, crash lands into the garage of the Tanner family. The Tanners call him "ALF" because he is an Alien Life Form and they decide to keep his presence a secret so that the U.S. Government will not take away the space being and subject him to experiments. From the beginning, there is no sanity for the Tanner family.

When Willie and Kate leave ALF and Brian at home with a baby-sitter, nosey Mrs. Ochmonek, ALF can't resist having some fun with the nervous woman.

Lucky is missing and the evidence suggests that ALF ate Lucky, although he claims to be innocent.

When ALF contacts the President of the United States to offer a solution to the nuclear arms race, the FBI hunts the furry little alien down.

In order to help out with the Tanner family's finances, ALF takes a job selling cosmetics over the phone.

While listening to a radio talk show, ALF becomes interested in Jody, a lonely, young blind lady who is having a difficult time making friends in Los Angeles. Feeling that they have much in common, he decides to meet her in person.