Office of Steam Forum for Model & Toy Steam Gas & Hot Air Engines

While I truly do not know specifically, I suspect that what he used was much like this one listed here:

https://www.jameco.com/z/STP-42D201-37-Shinano-Kenshi-12-Volt-1-8-Step-Angle-Bipolar-Stepper-Motor_2158531.html?CID=GOOG&gclid=Cj0KCQjw38-DBhDpARIsADJ3kjmgEoM077mnsHFU2ozGcrYWjmLwcg2pHkiPOuWB6DIGEeDbCtpS42YaAlaaEALw_wcB

They are about the same size, and of a similar configuration. However the specific operational specifications could be significantly different, though I'll bet this one is actually pretty close.

You can do that with any stepper motor of that size, but as Daniel mentions, there´s loads of difference in their configurations/output.

I have had 3 laying around here for future projects forever, and just last week tested them.
Just one of them would reach 50V while idling as the Blue Thunder, the other two only around 30V at same speed in the mill. 
All of them will light LEDs just as easily as the Blue Thunder, but there most likely would be a difference in how many they can handle at the same time.

Unfortunately is has no tag on it, and can´t even remember where it came from either.

It is not necessary with any electronics, if the sole purpose is to light LEDs.
Just made this little demo, by just twisting a LED onto one of the "inferior" steppers here:

No problem Jim.

However your wording confuses me slightly, as i uploaded it as "hidden".
Fingers crossed that you saw the link here, and watched the movie there, and didn´t find it on YouTube directly?