I just wanted to add, there's also mechanical lander games that pre-date lunar lander
I can't find a picture. IIRC the machine was something like this
https://content.invisioncic.com/r322239/monthly_10_2015/post...
Except it had terrain and pits. A pit would light up and you needed to land in the pit (your ship landing would depress the button in the center of the pit). If you didn't aim well your ship would hit the edge of the pit, tilt, and you'd fail. If you did hit the button then the light would go off and a different pit would light up.
-- update --
now that I think about it, maybe the controls were more like UFO catcher where you'd align at the top and then press "land".
Anyway, it used to be at Disneyland at the Main Street Arcade.