Whether they are set in space or about the space race, these films are sure to get you ready for "take off." Since there are so many, I'm not including any alien-driven movies on this list. Or any series movies (Star Wars, Star Trek, etc.)
Astronauts are a rare breed and in the 1960s, even rarer than they are today. This is the first film to take you behind the scenes of NASA and the men involved. I felt this film was almost documentary-like in its content, though it is much more personal and human than that.
Definitely more camp than substance, this cult classic came out in the same era of The Creature From the Black Lagoon, The Day the Earth Stood Still, and the original Invasion of the Body Snatchers. Don't let that deter you.
As if Tom Hanks needed another "classic Tom Hanks" film on his resume. This film capped off a string of great 1990s films starring Hanks, one right after another (A League of Their Own, Sleepless in Seattle, Philadelphia, Forrest Gump).
Set entirely in space (except for the very end), this film won director Alfonso Cuarón an Oscar. When you watch it, you will see why. Astronaut Scott Kelly apparently watched this one while in space. If that's not a ringing endorsement, I don't know what is.