Through the series, there are many sequences when Buck Rogers and/or Wilma Deering would take off in one configuration of a starfighter and then different cuts would have them sitting side by side and then a moment later one before the other. There would also be different ships (sky sled) where they would take off in one type of ship, exterior shots show them as they fly through space in a totally different looking ship, and then either land in the same ship they took off in, or in another different looking ship.
Buck Rogers is supposed to be a Captain in the Air Force, but he is wearing Navy wings. In fact, he is not even wearing Naval Aviator (pilot) wings, he is wearing Naval Flight Officer (navigator) wings.
In the narration intro, Buck Rogers' spacecraft is called "Ranger 3". But the Ranger series spacecraft were unmanned lunar landers, and NASA never repeats project names to avoid confusion.
Throughout the series, a stunt double was often used for Buck's fight scenes so that he could exhibit a higher level of physicality and martial arts than Gil Gerard was capable of doing himself. In some episodes, the face of the stunt double is clear to see and looks nothing like Gil Gerard.