Apollo 8 and 10 also orbited the moon without landing. There were 3 on board each. Apollo 13 flew by the moon with 3 on board, but one (Jim Lovell) had already been there on Apollo 8. So that’s 14 by my count, who only orbited or flew by the moon in addition to the 12 who walked its surface.
Merry Christmas! My dad asked me what I wanted and I told him I wanted to go see the Apollo launch. My dad packed a bag, I packed a bag the girls didn’t want to go, so we drove to Florida and watched Apollo 8 liftoff, stayed with some friends of his at Patrick Air Force Base and had a great view. Afterwards, we drove back and I saw the Christmas broadcast of Apollo 8. I will never forget what my old man did for me that Christmas, it was spectacular.