Sorry, but that's completely untrue - MANY Class II devices have metal cases and no ground - having a metal case doesn't make it a device Class I. Prime examples would be VCR's, STB's, Audio Amplifiers etc. most of which have metal cases but are Class II.
However, as this thread is about arcade machines, I once went to a pub (playing there in a pool league match) and the Fruit Machine was noticeably Live - not the minor tickle from a Class II device, but that from a Class I device with the earth not connected, and possibly even a live wire touching the case?.
Luckily I never touch anything without testing it first, you simply rub the back of your finger on the offending item, and if it's Live then it's like rubbing a piece of sand paper. If it's a Class II device it either feels smooth, or only very slightly rough.
I notified the bar staff, but they didn't seem interested.