It would be cool to find that game online, but I'll tell ya how I played it fairly recently (Adventure in the Magic Kingdom, old school Nintendo style)
I downloaded a Nintendo emulator. There are a lot but Nesticle is one of the best. You probably would want to get a game controller to plug in to your computer (the simple ones are fairly cheap) unless you wanna use the keyboard (eugh). then you have to find "nes roms" which are the games. There are pages and pages of lists and lists of games. Some work, some don't. It can be a pain getting an emulator that works and games that work. But I did find the Magic Kingdom game, just don't ask me where, it's been about 8 months. Just search for "Nesticle" or "NES emulator" first and get that, then search for "nes roms". You will find a plethora of those old games you used to love!
Good luck!
~Mia~
EDIT: LOL i just saw the post above mine. I didn't even see it before I posted this. I checked out the link and it's cool, but the game window is so small! Can you make it bigger? Plus I cannot play worth junk with the keyboard. I suggest an emulator if anyone wants to play this and other games full screen.