A video arcade game is pretty simple compared to a pinball machine.
FYI, it will probably cost somewhere around $12k-$18k+. You will probably have to manufacture a number of parts that are not available.
There have been a couple of examples of scratch builds with AFM and MM games you could use for guidance, or at least to gauge what you might expect to face.
Honestly, I wouldn't recommend it. Instead, you can get a nice TAF for around $6k-$7k, or a project for around $5k.
https://pinside.com/pinball/forum/topic/building-an-addams-family-from-scratchcrazy
https://pinside.com/pinball/forum/topic/cost-of-building-90-s-pins-vs-buying