The film production company founded by George Lucas is Lucasfilm.
Lucas founded Lucasfilm on December 10, 1971, in San Rafael, California. The company became the corporate home of his major creative projects, especially Star Wars and Indiana Jones. It was incorporated as Lucasfilm Ltd. in 1977, the year the first Star Wars film was released.
Lucasfilm grew beyond film production into sound, visual effects, animation, television, and games. Its divisions and associated companies included Industrial Light & Magic, Skywalker Sound, Lucasfilm Animation, and LucasArts. This broader structure helped Lucas develop many filmmaking technologies and production techniques under one corporate umbrella.
A common mix-up is Disney: Disney acquired Lucasfilm in 2012 for approximately $4.05 billion, but Disney did not found it. Pixar is also owned by Disney, while Miramax was founded separately by Bob and Harvey Weinstein. Lucasfilm remains the company name associated with the Star Wars and Indiana Jones franchises, although it has operated as a subsidiary of The Walt Disney Studios since the acquisition.