Not sure what these qualify as but they work well with an Analog Stick:
Alpine Racer
Alpine Racer 2
Aqua Jet
The test I've been using for whether they belong on this wiki list is simple but requires a bit of research.
Does the game use either:
1. Potentiometers
or 2. Hall-Effect joysticks
Operation Wolf uses an optical sensor (see upper right of pg 13 of the Operating Manual
here) to determine whether the gun can "see" a target when the trigger is pulled -- it is operating as a lightgun so it doesn't make this list.
Operation Wolf 3 uses two potentiometers per gun (see pg 18, item 17
or pg 25, lower left of the manual
here) to determine the X/Y coordinates that the gun is aimed at -- it is operating as a positional gun so it does make this list.
There is some more info about light guns and comparing them to positional guns
here if anyone wants to learn a bit more about the subject.
Because of MAME's flexibility in handling inputs, a lightgun game like Operation Wolf will run pretty much the same as a positional gun game like Operation Wolf 3 using an analog joystick or trackball.
I might add a lightgun game list to the wiki as well, probably on
this page, and cross-link it with the other game lists.
I probably should have started doing that yesterday.
As to your question about Alpine Racer, pages 49 and 50 of the manual
here show two potentiometers.
X-axis measures the flat horizontal pivot of the "ski" platform seen near the beginning of this video.
Y-axis measures the edge tilt as seen in the lower right attract mode video when it mentions that the steps are locked, but will be unlocked during gameplay.
Aqua Jet also qualifies because it has potentiometers on pgs 43 (pitch pot), 44 (accelerator pot), and 52 (yaw pot) of the manual
here, plus the schematics on pgs 54 and 55.
You can see the player lift the control arm assembly and tilt the base like a giant joystick in this video.
Scott