The reviewer who said that the eye patch was worn to protect one eye is patently wrong. It was worn to help the astronaut block out the spacecraft cabin lights so that he could find / see the stars in the navigation eyepiece much more easily. There were two eyepieces - one a sextant and the other a scanning telescope. Only one was used at a time and only one eye could look into whichever eyepiece was being used. So, "protecting" the other would be pointless.
One of the messages radioed to the crew is from Charles Lindberg. This is extremely significant. In 1927, at the age of 25, Lindberg was the first man to cross the Atlantic in an airplane on a solo flight. At the time of the Apollo 8 flight, Lindberg was 66 years old, having been born one year before the first powered aircraft flight. Passing away in the summer of 1974, he not only lived to witness man's first steps on the moon, but every one of the Apollo missions, as well as the first soft landing on Mars (Mars 2), plus the first Jupiter flyby and the first probe to leave the solar system (Pioneer 10).
The spacecraft is often shown to be slowly rotating. This was done because of the extreme differences in temperature between the shaded and the sunlit side of the ship. By rotating it prevents any one side of the ship from becoming too hot.
An important segment has the astronauts detailing how gray and colorless the moon is. All of the Earth-bound scenes in this episode are filmed in black and white, while the astronaut scenes are in color.