This classic movie has the character development, relaxed pace, gentle humor, and demure special effects you expect and enjoy from a classic "oldie" comedy. The movie is actually a sequel to "The Mouse that Roared" and both films are based on the political satire books of Leonard Wibberly. (Hint: if you enjoy this movie, you will likely also enjoy Wibberly's other books, such as "The Mouse on Wall Street".
The metaphorical "mouse", of course, is the tiny European country of Grand Fenwick, which brings the mighty nations to their knees through hilarious and accidental circumstances. For example, in The Mouse that Roared, we encounter the Cold War arms race; in The Mouse on the Moon, we chuckle as the race to reach the moon gets turned on its historical tail.
It's insightful to know that this movie was produced before the moon was actually reached in 1969. The show therefore premises on several outdated science hypotheses, such as the moon being covered with a 50 ft layer of soft dust that could swallow a spacecraft. I actually bought this movie for partly educational reasons, so my kids can view firsthand our evolving scientific concepts over the last century.
But even if you don't have young learners, you'll enjoy this movie purely on the merits of its hilarious satire: as crooked politicians apply for international research grants as a cover to install indoor plumbing; as superpowers elbow each other for global image points; and as sidelined nations claim fame for helping conquer space because the astronaut wore a watch made in their country.