Destination Moon (1950)
Starring: Warner Anderson, Tom Powers
Director: Irving Pichel
High-quality, Oscar-winning moon adventure.

From the Earth to the Moon (1998)
Starring: Tom Hanks, Tony Goldwyn
Director: David Carson, Sally Field
Epic, fact-based story of U.S. space program.

Mission to Mars (2000)
Starring: Gary Sinise, Tim Robbins
Director: Brian De Palma
Slick, cliched Hollywood blockbuster about astronauts making similar Martian discovery.

Project Moonbase (1953)
Starring: Donna Martell, Hayden Rorke
Director: Richard Talmadge
Not-as-good film also has moon mission theme.