I loved the arcade version and played it a lot when I was a kid, but the NES port was a pretty big letdown. Like I said, if you've got a Wii or Wii U, I would consider picking up Data East Arcade Classics instead to get a proper, arcade-accurate port of the original. Its a more expensive at around $60, but you'll be happier plus you get a lot of other games like Heavy Barrel, Joe & Mac and Burgertime. Its one of the rarer and most collectible games on the Wii.
Take a look at some gameplay footage on YouTube and you'll see what i mean about the choppy animation.
For a long time I didn't even know the game was an arcade port. I'll definitely have to check that out as well.
Its a huge jump up in quality. Yeah, compare NES footage to arcade footage of Bad Dudes when you get a chance.
If you are talking about the My Arcade units those, and the Pixel Player/Pixel Classic are usimg the NES versions of those games.