Answering two quotes: GroovyTuesday - The reason so many people want a DOT spinner is there basically is no authentic way to play the later levels otherwise. The game used an up/down spinner and a Trigger joystick with trigger and thumb switch. The easiest way to replicate this other than authentic controls is a standard spinner with two buttons nearby (up/down) and a trigger/thumb switch joystick, or a standard spinner with a PC joystick with 4 buttons, but you would still have to either take your hand off the spinner or off the fire button to press the up/down, so you can't play as well as in the original game.
PaigeOliver - Nice list! as someone who wants every arcade game playable (and on a low budget), I thought I would go through your list and point out alternatives, and add a couple myself -
Tron/Zaxxon Stick (not mentioned) - Happ Super with Raider Pro handle.
Ikari Warriors/SNK/Caliber .50 rotary joystick games - Authentic controls are available, but can also be played with Tron stick (above) and standard spinner, or Standard joystick and DOT spinner.
Xybots sticks. Heavy 4-ways that rotate left and right slightly. (Game seems to support 8-ways, and plays great with them in MAME, but I played a real Xybots a while back, and those dudes were 4-ways).
KLOV lists this as 8-way with two buttons each, use a standard joystick (with OSCAR's restrictors if you need 4-way) and assign two buttons for rotate/left rotate/right (4 buttons used total), not arcade authentic, but it works. Or a Tron stick with two buttons for rotate right and rotate left, or possible actual rotary joysticks.
Vindicators sticks - Tank controls, twin up down sticks with fire buttons.
Uses the Tron stick hack above, but you need 4 of them for 2-player games.
Assault sticks - Twin 4-ways with fire buttons.
Two of the Tron stick hacks above.
Breakout/Pong/Avalanche spinner - Pot based instead of encoder based, different feel, and mildly different function.
Didn't realize this was pot-based, but games play fine with a standard spinner.
Street Fighter 1 buttons - Those ones that you bash >as hard as you can to do different punches/ kicks.
Assume you mean the Convex Happ Competition buttons, don't think these are really required, although some authenticity is lost.
StarWars/Jedi/ESB/StunRunner/Hydra/Roadblaster yoke (I know RB is optical) (not mentioned) - Hack an original, or the Tron Hack would work, or a standard joystick with two buttons for Trigger and thumb functions.
Paperboy yoke - Bike handles (Or any of the various motorcycle handle yokes from various games).
Star Wars yoke works well or any of the hacks mentioned for it.
Lunar Lander controller - Analog up/down handle. Surprised I haven't seen one of these yet.
Standard joystick will work, but not arcade accurate.
Major Havoc roller - Like a spinner, but a roller, would work for most spinner games if you rotated it 90 degrees.
A spinner would work.
49 way optical sticks - Sinistar, some football game, and a few others.
Arch Rivals also, I think Pigskin was the football game. can basically use an analog joystick and advance MAME, but you really need Xiaou2's mod for the progressive centering.
Hall effect joystick - Road Runner, I-Robot, Escape from the Planet of the Robot Monsters.
Assume these are like the P360's and a standard joystick will work fine.
Wizard of Wor 9-way - 4 way stick with 2 positions in each direction.
According to KLOV, it had two contacts, one if held briefly in one direction and one if pressed further. I assume MAME uses a time delay to emulate this, or you could use two standard joysticks. Haven't ever played the game, so not sure.
720 degrees (not mentioned) spinner with a handle and calibration wheels - can be played using a standard spinner or standard 8-way depending on MAME build.
Frontline (not mentioned) - basically an 8-way with one direction constantly selected. I assume a standard 8-way can be used.
I am probably missing a ton of other weird controllers (Top Skater skateboard!!!!!).
and . . .
Prop Cycle - bicycle controller (pedals and gears)
Alpine Ski - hack a nordic track anyone?
Dance Dance Revolution - ummm?
that fire fighting game with the hoses and the 50" screen (not in MAME yet) thankfully :-).
And . . . a ton of others that I missed.