There is only one original Statue of Liberty—the colossal neoclassical sculpture on Liberty Island in New York Harbor, dedicated October 28, 1886. It is a UNESCO World Heritage Site and U.S. National Monument.
Hundreds of replicas and derivatives exist worldwide—most notably:
The statue was a specific diplomatic gift from France to the USA, engineered by Gustave Eiffel, sculpted by Frédéric Auguste Bartholdi. Its symbolism—liberty enlightening the world—is tied to that singular object and location.
The original is federally owned (National Park Service), protected by law. Replicas require no permission but cannot claim to be "the" Statue of Liberty.