Since @geoffc has broken the "Gilligan's Island Barrier" with this answer I'd like to ask about the Space-themed episode 22 of Season 3 "Splashdown" which aired on February 20, 1967.
What launch vehicle is depicted in the opening scene, and what launch pad?
Bonus points for identification of the lone car in the parking lot next to the launchpad.
below: GIF (14 frames) made from screen shots from Daily Motion "Gilligan's Island Splashdown S03E22". Credit to Sherwood Schwartz, United Artists Television. and CBS Television.
below: Screen shots from Daily Motion "Gilligan's Island Splashdown S03E22". Credit to Sherwood Schwartz, United Artists Television. and CBS Television. Click stills below for full size: