Love the idea! Very original and genuinely fun.
The tutorial did a great job at explaining what you need to do. I first tried playing without the tutorial and there's no way I would have figured out what I was supposed to do without it, haha. Personally, I found no bugs during my playthroughs either.
The only thing I didn't like was the scream when you die. I would tone it down a notch, but maybe that's just me, haha. Otherwise, it's a bit of a shame there's no reason to actually play the arcade games, as they are great and you clearly put effort into making them! I think you could consider adding some motivators for completing them, as you have a great potential for nostalgic moments there.
Cheers!