Could the machine be setup to accept payment via digital cash, using a customer's phone and a QR code on the screen? It could work with an arcade's own payment app, or with blockchain networks like Ethereum or Bitcoin.
Once the architecture is in place, we could do clever things like running a local league as a smart contract, automatically rewarding the top scorers with cryptocurrency prize money directly into their wallets. Ethereum tokens could be used to track top scores, game credits, and in-game achievements. You could make a meta-game out of it - the gamification of pinball!