This is of course a joke, I am a fan of the number system. The honour system also works fine here in Australia, they just call out the order and you go and take it after a tiny delay to see if the guy who was there first goes for it.
You don't have to ask for a number, just give them one.
Receipt.
Starbucks ask you for a name to make the process seem more personal and friendly. Apparently they started doing this in 2012; it was met with quite some head-scratching in the UK at the time. The other big coffee chains here do not do this, to the best of my knowledge.
One restaurant I love approaches the problem by giving out name cards (brightly-colored paper, so disposable or cheaply replaceable) rather than numbers on the receipt, but the names are of famous personalities. I've been Dolly Parton, I've been Arnold Schwarzenegger, I've been Jackie Robinson, etc. They're fun because unlike numbers, they're easy to remember and can provoke conversation in a group, or fond thoughts when alone. Bravo to Twisted Root Burger Co for this approach!