Even for really old stuff like Space Harrier the feeling of moving along with the screen gives you a more visceral experience than almost any VR setup. Hard to fake the effects of gravity!
[0] has a list (in japanese) of moving arcade machines. Mikado in Takadanobaba has some of these. These things are getting older and older of course so the window of opportunity is unfortunately shrinking as time goes on.
(EDIT: just realised that list itself is over 10 years old at this point so YMMV)
Anyway, Mikado in Ikebukuro has the standard F-Zero AX cabinet, and it is great. I have never visited their game center in Takadanobaba though, it is still in my TODO list...
It was a pretty great console, in its own way.
Must have taken a heckin' amount of work!