Mr. Spaceship is set in the distant future, where humanity is at war with "Yuks", an alien life form which does not use mechanical spaceships nor constructions. Instead, it relies on life forms. The war has been going on for a long time, and humanity has not been able to come up with a solution against the life form-based ships and mines that the Yuks use.
One day, a team of researchers led by our hero Philip Kramer decides to build a spaceship which is powered by a human brain! They find the ideal candidate, Kramer's old professor, a dying man who volunteers to donate his brain to the project... This is just the starting point of an absolutely incredible adventure!