Probably not worth solving, certainly not something I would solve myself but...
I'm up late all the time working. True nightowl you could say. The earliest I'd go to bed is 6am. I sleep during the day and wake up around noon at the latest. I don't lack sleep, this schedule works for me. Point is, I'm up late and I'm sure there are others like me.
I get hungry often. I don't cook. Few places if any are open. Those that do are unknown (what little and inccurately Yelp tries to cover with hours filtering) and certainly don't deliver.
Broken solution, I'd like a list of all places open late, what they serve, and a way to get it delivered. I'd pay premium for it. I would task rabbit it or something but I don't know many rabbits working that late and certainly not a good enough resource to figure out what places are open. Not changing my sleep schedule either, f that.