Where did Lord of the Rings first show?

Lord of the Rings was first shown as a series of books. The first book, The Fellowship of the Ring, was published in 1954.

While the books were the original form, you might be asking about the first appearance of the Lord of the Rings in film. The first film adaptation was The Lord of the Rings: The Fellowship of the Ring, which premiered in December 19, 2001, in the United States.